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GCSE Equivalent Fractions Questions and Answers

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Question 06 - AQA GCSE Higher Maths Past Paper 1 November 2021

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Question 02 - OCR GCSE Foundation 2017 Past Paper 3 - Numbers, Fractions, Equivalent Fractions Questions By Topic

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Question 02 - OCR GCSE Foundation 2019 Past Paper 3 - Numbers, Fractions, Equivalent Fractions, Ratio, Proportion and Rates of Change, Ratio & Proportion Questions By Topic

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Equivalent Fractions - GCSE Mathematics - Revision and Examples

1. Equivalent Fractions

Equivalent fractions are fractions that are worth exactly the same even though they are written differently. is worth the same as because will simplify to by dividing the numerator and denominator by 2. 

1.1 What are Equivalent Fractions?

If two or more fractions simplify to the same fraction, they are said to be equivalent fractions. For instance, the corresponding fractions of  1⁄6 are 5⁄30, 6⁄36, and 4⁄24, which, when simplified equal 1⁄6.

1.2 How to write equivalent fractions?

Let us understand how to simplify fractions and calculate equivalent fractions.

We follow below steps to simplify fractions:

  1. Look at the numerator and the denominator and find the Highest Common Factor. 
  2. Divide both the numerator and the denominator by the HCF. 
  3. Write the fraction in its simplest terms.

We follow below steps to calculate equivalent fractions:

  1. Look at the denominators in both fractions and work out the multiplier. 
  2. Multiply the numerator of one of the fractions by the multiplier. 
  3. Complete the second fraction.

Example - Write the fraction 28⁄35 in its simplest form:

Solution:

GCSE Equivalent Fractions Image 01

  1. Look at the numerator and the denominator and find the Highest Common Factor. The Highest Common Factor of 28 and 35 is 7.
  2. Divide both the numerator and the denominator by the HCF.

        28⁄35 = 4×7 ⁄ 5×7 = 4⁄5

    3. We write the fraction in its simplest terms.

        28⁄35 = 4⁄5

Example - Write the fraction 117/130 in its simplest form:

Solution:

GCSE Equivalent Fractions Image 02

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    What are the main topics in GCSE Maths?

    The main topics in GCSE Maths are:

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    With regular practice of GCSE Maths topic-wise questions and GCSE Maths past pacers, you can easily score high marks.

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    Although many people think of GCSE maths as a difficult subject, with the correct training and preparation,you can master it in time. You can practice GCSE Maths  topic-wise questions daily to improve speed, accuracy, and time and to score high marks in the GCSE Maths exam.

    What is a good grade on GCSE Maths Exam?

    A grade of 4 or 5 would be considered "good" because the government has established a 4 as the passing grade; a grade of 5 is seen as a strong pass. Therefore, anything that exceeds this level would be considered good. You can practice GCSE Maths topic-wise questions to score good grades in the GCSE Maths exam.

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