ExpertEasy2 marksShort Answer
AQA GCSE · Question 01 · Number
Work out the reciprocal of 10/3. Give your answer as a decimal.
Work out the reciprocal of 10/3. Give your answer as a decimal.
How to approach this question
1. Understand the term "reciprocal". The reciprocal of a number is 1 divided by that number. For a fraction a/b, the reciprocal is b/a.
2. Find the reciprocal of the given fraction 10/3.
3. Convert the resulting fraction into a decimal.
Full Answer
The reciprocal of a fraction is found by inverting it.
The reciprocal of 10/3 is 3/10.
To convert 3/10 to a decimal, we divide 3 by 10.
3 ÷ 10 = 0.3
The reciprocal of a number is 1 divided by the number. For a fraction, this means you "flip" the fraction.
The reciprocal of 10/3 is 3/10.
The question asks for the answer as a decimal. To convert a fraction to a decimal, you divide the numerator by the denominator.
3 ÷ 10 = 0.3.
So, the answer is 0.3.
Common mistakes
✗ Forgetting to convert the fraction to a decimal.
✗ Calculating 10/3 as a decimal first and then trying to find the reciprocal, which can lead to rounding errors.
✗ Confusing reciprocal with other operations like finding the square.
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