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CTET Fractions — practice questions — page 3

Explore 96 free Fractions questions in CTET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Fractions questions and exercises with answers

Showing questions 61–90 of 96.

A ribbon 2 1/3 m long is needed 1 1/2 times. Total length used?Read the answer and worked solution →To divide 8/9 by the whole number 4, what can you do?Read the answer and worked solution →Share 3/5 of a cake equally between two children. Each child gets?Read the answer and worked solution →To divide a number by a fraction, you multiply it by what?Read the answer and worked solution →How many 2/3-litre cups can be filled from 6 litres?Read the answer and worked solution →How do you change a common fraction into a decimal?Read the answer and worked solution →What is 1/4 written as a decimal?Read the answer and worked solution →Which fraction cannot be written exactly as a finite decimal?Read the answer and worked solution →Which mark shows which digits repeat in a decimal?Read the answer and worked solution →The repeating decimal 0.777... equals which fraction?Read the answer and worked solution →What is the repeating decimal 0.3636... as a fraction in lowest terms?Read the answer and worked solution →In a complex fraction, what is itself a fraction or mixed number?Read the answer and worked solution →What were the earliest fractions?Read the answer and worked solution →An Egyptian fraction is a sum of what?Read the answer and worked solution →What did followers of Pythagoras find about the square root of two?Read the answer and worked solution →Which Jain text of about 150 BC dealt with operations with fractions?Read the answer and worked solution →What was the modern form of fractions in early India called?Read the answer and worked solution →In Sanskrit fraction writing, the denominator was called what?Read the answer and worked solution →Early Indian fraction writing placed numerator over denominator but lacked what?Read the answer and worked solution →Who first used the horizontal fraction bar, as attested?Read the answer and worked solution →A decimal system uses which number as its base?Read the answer and worked solution →The most common decimal system today is which numeral system?Read the answer and worked solution →Which numbers can a finite-length decimal represent exactly?Read the answer and worked solution →What do we call an expansion whose remaining digits are all zero?Read the answer and worked solution →A repeating decimal is an infinite decimal that does what?Read the answer and worked solution →If the same digits repeat forever in a decimal, what kind of number is it?Read the answer and worked solution →What does the number of decimal places given in a measurement usually indicate?Read the answer and worked solution →Why did many ancient civilisations use ten and its powers?Read the answer and worked solution →What is the dot in 25.9703 called?Read the answer and worked solution →Which symbols can be a decimal separator depending on locale?Read the answer and worked solution →

Worked practice questions

A ribbon 2 1/3 m long is needed 1 1/2 times. Total length used?

  1. 3 1/2
  2. 2 1/6
  3. 3 1/6
  4. 2 1/2
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Correct answer: A. 3 1/2

1. Convert each to an improper fraction: 3/2 and 7/3. 2. Multiply: (3 x 7)/(2 x 3) = 21/6 = 7/2. 3. 7/2 is 3 1/2; the other options come from multiplying whole parts and fraction parts separately. _Source: Wikipedia, Fraction, section Multiplying mixed numbers_

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To divide 8/9 by the whole number 4, what can you do?

  1. Divide the numerator by 4
  2. Multiply the numerator by 4
  3. Add 4 to the denominator
  4. Divide the denominator by 4
Show answer and solution

Correct answer: A. Divide the numerator by 4

1. If the numerator divides evenly, divide it by the number: 8 / 4 = 2, giving 2/9. 2. Alternatively multiply the denominator: 9 x 4 = 36, giving 8/36 = 2/9. 3. Multiplying the numerator, adding to the denominator or dividing the denominator all change the value wrongly. _Source: Wikipedia, Fraction, section Division_

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Share 3/5 of a cake equally between two children. Each child gets?

  1. 6/5
  2. 3/10
  3. 1/10
  4. 5/6
Show answer and solution

Correct answer: B. 3/10

1. The numerator 3 does not divide evenly by 2, so multiply the denominator by 2. 2. 5 x 2 = 10, giving 3/10. 3. 6/5 multiplies by 2, 1/10 is not 3/5 halved, and 5/6 is a reciprocal-like swap. _Source: Wikipedia, Fraction, section Division_

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