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Fractions and Decimals Class 7 MCQs Questions with Answers
Question 1.
Which of the following fraction?
(a) \(\frac{7}{4}\)
(b) \(\frac{19}{4}\)
(c) \(\frac{14}{5}\)
(d) \(\frac{4}{11}\)
Answer
Answer: (d) \(\frac{4}{11}\)
Hint:
4 < 11
Question 2.
Which of the following fraction?
(a) \(\frac{17}{3}\)
(b) \(\frac{43}{12}\)
(c) \(\frac{15}{11}\)
(d) \(\frac{4}{5}\)
Answer
Answer: (d) \(\frac{4}{5}\)
Hint:
4 < 5
A Multiplying Fractions and Whole Numbers Calculator is a free online tool that gives the product of a fractional number and a whole number.
Question 3.
Which of the following is an improper fraction?
(a) \(\frac{2}{7}\)
(b) \(\frac{1}{2}\)
(c) \(\frac{2}{3}\)
(d) \(\frac{73}{10}\)
Answer
Answer: (d) \(\frac{73}{10}\)
Hint:
73 > 10
Question 4.
Which of the following is an improper fraction?
(a) \(\frac{1}{12}\)
(b) \(\frac{5}{9}\)
(c) \(\frac{4}{13}\)
(d) \(\frac{7}{2}\)
Answer
Answer: (d) \(\frac{7}{2}\)
Hint:
7 > 2
Question 5.
Which of the following is a mixed fraction?
(a) \(\frac{2}{17}\)
(b) \(\frac{3}{14}\)
(c) \(\frac{5}{27}\)
(d) 2\(\frac{13}{15}\)
Answer
Answer: (d) 2\(\frac{13}{15}\)
Hint:
2\(\frac{13}{15}\)
Question 6.
The improper fraction \(\frac { 33 }{ 4 } \) in the form of a mixed fraction is
(a) 8\(\frac{1}{4}\)
(b) 4\(\frac{1}{8}\)
(c) 3\(\frac{8}{4}\)
(d) 4\(\frac{7}{8}\)
Answer
Answer: (a) 8\(\frac{1}{4}\)
Hint:
\(\frac{33}{4}\) = \(\frac{32+1}{4}\) = \(\frac{32}{4}\) + \(\frac{1}{4}\) = 8 + \(\frac{1}{4}\) = 8\(\frac{1}{4}\)
Question 7.
Which of the following is not an equiva-lent fraction of \(\frac { 3 }{ 5 } \) ?
(a) \(\frac{6}{10}\)
(b) \(\frac{9}{15}\)
(c) \(\frac{12}{20}\)
(d) \(\frac{15}{24}\)
Answer
Answer: (d) \(\frac{15}{24}\)
Hint:
\(\frac{3}{5}\) = \(\frac{3×2}{5×2}\) = \(\frac{6}{10}\); \(\frac{3}{5}\) = \(\frac{3×3}{5×3}\) = \(\frac{9}{15}\)
\(\frac{3}{5}\) = \(\frac{3×4}{5×4}\) = \(\frac{12}{20}\); \(\frac{3}{5}\) = \(\frac{3×5}{5×5}\) = \(\frac{15}{25}\) = \(\frac{15}{25}\)
Question 8.
Which of the following is an equivalent fraction of \(\frac { 2 }{ 3 } \) ?
(a) \(\frac{4}{9}\)
(b) \(\frac{6}{13}\)
(c) \(\frac{8}{11}\)
(d) \(\frac{10}{15}\)
Answer
Answer: (d) \(\frac{10}{15}\)
Hint:
\(\frac{2}{3}\) = \(\frac{2×5}{3×5}\) = \(\frac{10}{15}\)
Question 9.
1 – \(\frac { 1 }{ 5 } \) is equal to
(a) \(\frac{2}{5}\)
(b) \(\frac{3}{5}\)
(c) \(\frac{4}{5}\)
(d) \(\frac{1}{5}\)
Answer
Answer: (c) \(\frac{4}{5}\)
Hint:
1 – \(\frac{1}{5}\) = \(\frac{5}{5}\) – \(\frac{1}{5}\) = \(\frac{5-1}{5}\) = \(\frac{4}{5}\)
Question 10.
2 + \(\frac { 1 }{ 4 } \) is equal to
(a) \(\frac{7}{4}\)
(b) \(\frac{9}{4}\)
(c) \(\frac{5}{4}\)
(d) \(\frac{11}{4}\)
Answer
Answer: (b) \(\frac{9}{4}\)
Hint:
2 + \(\frac{1}{4}\) = \(\frac{2}{1}\) + \(\frac{1}{4}\) = \(\frac{2×4}{1×4}\) + \(\frac{1}{4}\)
= \(\frac{8}{4}\) + \(\frac{1}{4}\) = \(\frac{8+1}{4}\) + \(\frac{9}{4}\)
Question 11.
\(\frac { 1 }{ 2 } \) + \(\frac { 1 }{ 3 } \) is equal to
(a) \(\frac{1}{6}\)
(b) \(\frac{5}{6}\)
(c) \(\frac{7}{6}\)
(d) \(\frac{11}{6}\)
Answer
Answer: (b) \(\frac{5}{6}\)
Hint:
\(\frac{1}{2}\) + \(\frac{1}{3}\) = \(\frac{3}{6}\) + \(\frac{2}{6}\) = \(\frac{3+2}{6}\) + \(\frac{5}{6}\)
Question 12.
\(\frac { 1 }{ 2 } \) – \(\frac { 1 }{ 4 } \) is equal to
(a) \(\frac{1}{2}\)
(b) \(\frac{1}{8}\)
(c) \(\frac{1}{3}\)
(d) \(\frac{1}{4}\)
Answer
Answer: (d) \(\frac{1}{4}\)
Hint:
\(\frac{1}{2}\) – \(\frac{1}{4}\) = \(\frac{2}{4}\) – \(\frac{1}{4}\) = \(\frac{2-1}{4}\) + \(\frac{1}{4}\)
Question 13.
Apala ate \(\frac { 3 }{ 5 } \) of an orange. The remaining orange was eaten by Meenu. What part of the orange was eaten by Meenu?
(a) \(\frac{1}{5}\)
(b) \(\frac{2}{5}\)
(c) \(\frac{3}{5}\)
(d) None of these
Answer
Answer: (b) \(\frac{2}{5}\)
Hint:
1 – \(\frac{3}{5}\) = \(\frac{5}{3}\) – \(\frac{3}{5}\) = \(\frac{5-3}{5}\) = \(\frac{2}{5}\)
Question 14.
The side of an equilateral triangle is \(\frac { 1 }{ 2 } \) cm. The perimeter of the triangle is
(a) 1 cm
(b) 2 cm
(c) \(\frac{3}{2}\)
(d) None of these
Answer
Answer: (c) \(\frac{3}{2}\)
Hint:
Perimeter = \(\frac{1}{2}\) + \(\frac{1}{2}\) + \(\frac{1}{2}\) = \(\frac{1+1+1}{2}\)
= \(\frac{2}{2}\) cm.
Question 15.
The side of a square is \(\frac { 1 }{ 2 } \) cm. The perimeter of the square is
(a) 1 cm
(b) 2 cm
(c) 1\(\frac{1}{2}\)
(d) 2\(\frac{1}{2}\)
Answer
Answer: (b) 2 cm
Hint:
Perimeter = \(\frac{1}{2}\) + \(\frac{1}{2}\) + \(\frac{1}{2}\) + \(\frac{1}{2}\)
= \(\frac{1+1+1+1}{2}\) = \(\frac{4}{2}\) = 2 cm.
Question 16.
Manish worked for \(\frac { 1 }{ 2 } \) an hour. Yash worked for \(\frac { 1 }{ 4 } \) of an hour. For how much time did both work together?
(a) 1 hour
(b) \(\frac{3}{4}\)
(c) \(\frac{5}{4}\)
(d) \(\frac{3}{2}\)
Answer
Answer: (b) \(\frac{3}{4}\)
Hint:
\(\frac{1}{2}\) + \(\frac{1}{4}\) = \(\frac{2}{4}\) + \(\frac{1}{4}\)
= \(\frac{2+1}{2}\) = \(\frac{3}{4}\)
Question 17.
The length of a rectangular sheet of paper is \(\frac { 3 }{ 5 } \) cm and the breadth is \(\frac { 2 }{ 5 } \) cm. What is the perimeter of the paper?
(a) 1 cm
(b) 2 cm
(c) 3 cm
(d) 4 cm
Answer
Answer: (b) 2 cm
Hint:
Perimeter = 2(\(\frac{3}{5}\) + \(\frac{2}{5}\)) = 2(\(\frac{3+2}{5}\))
= 2(\(\frac{5}{5}\)) = 2(1) = 2 cm
Question 18.
Lipika reads 1 \(\frac { 1 }{ 2 } \) hours daily. Preeti reads \(\frac { 1 }{ 2 } \) hour daily. How much hours they read for in one day?
(a) 1 hour
(b) 2 hour
(c) 1\(\frac{1}{2}\)
(d) 2\(\frac{1}{2}\)
Answer
Answer: (b) 2 hour
Hint:
1\(\frac{1}{2}\) + \(\frac{1}{2}\) = \(\frac{3}{2}\) + \(\frac{1}{2}\)
= \(\frac{3+1}{2}\) = \(\frac{4}{2}\) = 2 hours
Question 19.
2 × \(\frac { 5 }{ 3 } \) is equal to
(a) \(\frac{7}{3}\)
(b) \(\frac{11}{3}\)
(c) \(\frac{13}{3}\)
(d) \(\frac{10}{3}\)
Answer
Answer: (d) \(\frac{10}{3}\)
Hint:
2 × \(\frac{5}{3}\) = \(\frac{2×5}{3}\) = \(\frac{10}{3}\)
Question 20.
\(\frac { 7 }{ 5 } \) × 4 is equal to
(a) \(\frac{21}{5}\)
(b) \(\frac{22}{5}\)
(c) \(\frac{28}{5}\)
(d) \(\frac{23}{5}\)
Answer
Answer: (c) \(\frac{28}{5}\)
Hint:
\(\frac{7}{5}\) × 4 = \(\frac{7×4}{5}\) = \(\frac{28}{5}\)
Question 21.
what is \(\frac { 1 }{ 2 } \) of 8 ?
(a) 1
(b) 2
(c) 3
(d) 4
Answer
Answer: (d) 4
Hint:
\(\frac{1}{2}\) of 8 = \(\frac{1}{2}\) × 8 = \(\frac{1×8}{2}\) = \(\frac{8}{2}\) = 4
Question 22.
what is \(\frac { 1 }{ 3 } \) of 9 ?
(a) 1
(b) 2
(c) 3
(d) 9
Answer
Answer: (c) 3
Hint:
\(\frac{1}{3}\) of 9 = \(\frac{1}{3}\) × 9 = \(\frac{1×9}{3}\) = \(\frac{9}{3}\) = 3
Question 23.
what is \(\frac { 3 }{ 5 } \) of 25 ?
(a) 5
(b) 10
(c) 15
(d) 20
Answer
Answer: (c) 15
Hint:
\(\frac{3}{5}\) of 25 = \(\frac{3}{5}\) × 25 = \(\frac{3×25}{5}\) = \(\frac{75}{5}\) = 15
Question 24.
what is \(\frac { 3 }{ 4 } \) of 24 ?
(a) 12
(b) 18
(c) 16
(d) 20
Answer
Answer: (b) 18
Hint:
\(\frac{3}{4}\) of 24 = \(\frac{3}{4}\) × 24 = \(\frac{3×24}{4}\) = \(\frac{72}{4}\) = 18
Question 25.
what is \(\frac { 1 }{ 2 } \) of \(\frac { 10 }{ 7 } \) ?
(a) \(\frac{5}{7}\)
(b) \(\frac{3}{7}\)
(c) \(\frac{6}{7}\)
(d) \(\frac{4}{7}\)
Answer
Answer: (a) \(\frac{5}{7}\)
Hint:
\(\frac{1}{2}\) of \(\frac{10}{7}\) = \(\frac{1}{2}\) × \(\frac{10}{7}\) = \(\frac{1×10}{2×7}\) = \(\frac{5}{7}\)
Question 26.
what is \(\frac { 1 }{ 4 } \) of 5 \(\frac { 1 }{ 3 } \) of ?
(a) \(\frac{1}{3}\)
(b) \(\frac{2}{3}\)
(c) \(\frac{4}{3}\)
(d) None of these
Answer
Answer: (c) \(\frac{4}{3}\)
Hint:
\(\frac{1}{4}\) of 5\(\frac{1}{3}\) = \(\frac{1}{4}\) of \(\frac{16}{3}\) = \(\frac{1}{4}\) × \(\frac{16}{3}\) = \(\frac{1×16}{4×3}\) = \(\frac{4}{3}\)
Question 27.
There are 40 students in a class. \(\frac { 1 }{ 2 } \) of the total number of students are Hindus. The number of Hindus is
(a) 10
(b) 20
(c) 30
(d) 40
Answer
Answer: (b) 20
Hint:
Number of Hindus = \(\frac{1}{2}\) of 40 = \(\frac{1}{2}\) × 40
= \(\frac{1×40}{2}\) = \(\frac{40}{2}\) = 20
Question 28.
A water bottle contains 2 litres of water. Meenu drank \(\frac { 1 }{ 8 } \) of water. How much water did Meenu drink?
(a) \(\frac{1}{2}\) litre
(b) \(\frac{1}{8}\) litre
(c) \(\frac{1}{4}\) litre
(d) None of these
Answer
Answer: (c) \(\frac{1}{4}\) litre
Hint:
Meenu drank water = \(\frac{1}{8}\) of 2 = \(\frac{1}{8}\) × 2
= \(\frac{1×2}{8}\) = \(\frac{2}{8}\) = \(\frac{1}{4}\) litre
Question 29.
A car runs 20 km using 1 litre of petrol. How much distance will it cover in 1 \(\frac { 1 }{ 4 } \) litre of petrol ?
(a) 25 km
(b) 30 km
(c) 36 km
(d) 40 km
Answer
Answer: (a) 25 km
Hint:
Required distance = 20 × 1\(\frac{1}{4}\) = 20 × \(\frac{5}{4}\)
= \(\frac{20×5}{4}\) = \(\frac{100}{4}\) = 25 km
Question 30.
By what fraction should be multiply \(\frac { 4 }{ 5 } \) to get \(\frac { 16 }{ 35 } \) ?
(a) \(\frac{4}{7}\)
(b) \(\frac{7}{4}\)
(c) \(\frac{4}{5}\)
(d) \(\frac{16}{35}\)
Answer
Answer: (a) \(\frac{4}{7}\)
Hint:
Required fraction = \(\frac{16}{35}\) ÷ \(\frac{4}{5}\) = \(\frac{16}{35}\) × \(\frac{5}{4}\)
= \(\frac{16×5}{35×4}\) = \(\frac{4}{7}\)
Question 31.
5 ÷ \(\frac { 5 }{ 2 } \) is equal to
(a) 1
(b) 2
(c) 5
(d) 3
Answer
Answer: (b) 2
Hint:
5 ÷ \(\frac{5}{2}\) = 5 × \(\frac{2}{5}\) = \(\frac{5×2}{5}\) = 2
Question 32.
14 ÷ \(\frac { 7 }{ 2 } \) is equal to
(a) 1
(b) 2
(c) 3
(d) 4
Answer
Answer: (d) 4
Hint:
14 ÷ \(\frac{7}{2}\) = 14 × \(\frac{2}{7}\) = \(\frac{14×2}{7}\) = 4
Question 33.
\(\frac { 1 }{ 3 } \) ÷ \(\frac { 5 }{ 3 } \) is equal to
(a) \(\frac{1}{3}\)
(b) \(\frac{5}{3}\)
(c) \(\frac{1}{5}\)
(d) None of these
Answer
Answer: (c) \(\frac{1}{5}\)
Hint:
\(\frac{1}{3}\) ÷ \(\frac{5}{3}\) = \(\frac{1}{3}\) × \(\frac{3}{5}\) = \(\frac{1×3}{3×5}\) = \(\frac{1}{5}\)
Question 34.
\(\frac { 1 }{ 2 } \) ÷ 4 is equal to
(a) \(\frac{1}{8}\)
(b) \(\frac{1}{4}\)
(c) \(\frac{1}{2}\)
(d) \(\frac{1}{6}\)
Answer
Answer: (a) \(\frac{1}{8}\)
Hint:
\(\frac{1}{2}\) ÷ 4 = \(\frac{1}{2}\) × \(\frac{1}{4}\) = \(\frac{1×1}{2×4}\) = \(\frac{1}{8}\)
Question 35.
3 \(\frac { 1 }{ 3 } \) ÷ 10 is equal to
(a) \(\frac{1}{2}\)
(b) \(\frac{1}{3}\)
(c) \(\frac{1}{4}\)
(d) \(\frac{1}{5}\)
Answer
Answer: (b) \(\frac{1}{3}\)
Hint:
3\(\frac{1}{3}\) ÷ 10 = \(\frac{10}{3}\) ÷ 10 = \(\frac{10}{3}\) × \(\frac{1}{10}\) = \(\frac{10×1}{3×10}\) = \(\frac{1}{3}\)
Question 36.
5 paise is equal to
(a) Rs 0.5
(b) Rs 0.05
(c) Rs 0.005
(d) Rs 0.0005
Answer
Answer: (b) Rs 0.05
Hint:
5 paise = Rs \(\frac{5}{100}\) = Rs 0.05
Question 37.
5 cm is equal to
(a) 0.005 km
(b) 0.00005 km
(c) 0.000005 km
(d) None of these
Answer
Answer: (b) 0.00005 km
Hint:
5 cm = \(\frac{5}{100}\) m = 0.05 m = \(\frac{0.05}{100}\) km = 0.00005 km
Question 38.
150 g is equal to
(a) 0.15 kg
(b) 0.015 kg
(c) 0.0015 kg
(d) 0.00015 kg
Answer
Answer: (a) 0.15 kg
Hint:
1 kg = 1000 gm; 150 g = \(\frac{150 gm}{100}\) kg = 0.15 kg
Question 39.
The place value of 2 in 2.38 is
(a) 1
(b) 2
(c) 20
(d) 0.2
Answer
Answer: (b) 2
Hint:
2 is the unit’s digit in integral part.
∴ Place value = 2 × 1 = 2.
What is 5/8 as a Decimal? We will see here that the fraction five-eighth (5/8) decimal is 0.625
Question 40.
The place value of 2 in 5.32 is
(a) 2
(b) 0.2
(c) 0.02
(d) 0.002.
Answer
Answer: (c) 0.02
Hint:
2 is the hundredth’s digit in the decimal part.
∴ Place value = 2 × \(\frac{1}{100}\) = 0.02.
Question 41.
How much less is 10 km than 30.6 km?
(a) 10.6 km
(b) 20.6 km
(c) 30.6 km
(d) 10 km
Answer
Answer: (b) 20.6 km
Hint:
30.6 – 10.0 = 20.6
Question 42.
Find: 2.5 × 4
(a) 10
(b) 5
(c) 8
(d) 12
Answer
Answer: (a) 10
Hint:
25 × 4 = 100 ∴ 2.5 × 4 = 10.
Question 43.
Find: 1.2 × 1.2
(a) 144
(b) 14.4
(c) 1.44
(d) none of these
Answer
Answer: (c) 1.44
Hint:
12 × 12 = 144 ∴ 1.2 × 1.2 = 1.44.
Question 44.
1.2 × 10 is equal to
(a) 12
(b) 120
(c) 0.12
(d) none of these
Answer
Answer: (a) 12
Hint:
12 × 10 = 120 ∴1.2 × 10 = 12.
Question 45.
0.6 × 100 is equal to
(a) 6
(b) 60
(c) 600
(d) 0.06
Answer
Answer: (b) 60
Hint:
6 × 100 = 600 ∴ 0.6 × 100 = 60.
Question 46.
1.25 × 5 is equal to
(a) 62.5
(b) 6.25
(c) 31.25
(d) 0.625
Answer
Answer: (b) 6.25
Hint:
125 × 5 = 625 ∴ 1.25 × 5 = 6.25.
Question 47.
0.01 × 1000 is equal to
(a) 1
(b) 0.1
(c) 0.01
(d) 10
Answer
Answer: (d) 10
Hint:
1 × 1000 = 1000
0.01 × 1000 = 10.
Fraction 11/16 to decimal is equal to 0.6875 as a Decimal.
Question 48.
0.6 ÷ 3 is equal to
(a) 10.6 km
(b) 20.6 km
(c) 30.6 km
(d) 10 km
Answer
Answer: (d) 10km
Hint:
6 ÷ 3 = 2 ∴ 0.6 ÷ 3 = 0.2
Question 49.
2.5 ÷ 100 is equal to
(a) 0.025
(b) 0.25
(c) 25
(d) 250
Answer
Answer: (a) 0.025
Hint:
2.5 ÷ 100 = \(\frac{25}{10}\) × \(\frac{1}{100}\) = \(\frac{25}{1000}\) = 0.025
Take the help of Fraction to Decimal Calculator to convert fraction 9/20 to decimal form i.e. 0.45
Question 50.
1.44 ÷ 1.2 is equal to
(a) 1.2
(b) 12
(c) 0.12
(d) 120
Answer
Answer: (a) 1.2
Hint:
1.44 ÷ 1.2 = \(\frac{144}{100}\) ÷ \(\frac{12}{10}\) = \(\frac{144}{100}\) × \(\frac{10}{12}\) = \(\frac{12}{10}\) = 1.2
or
\(\frac{1.44}{1.2}\) × \(\frac{144}{120}\) = \(\frac{12}{10}\) = 1.2
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