Easy2 marksShort Answer
Numberfractionsdecimalsroundingnumber

AQA GCSE · Question 10.2 · Number

Work out 15/32 as a decimal. Give your answer to 2 decimal places.

How to approach this question

1. To convert a fraction to a decimal, divide the numerator by the denominator. 2. Use a calculator to compute 15 ÷ 32. 3. The calculator will display 0.46875. 4. The question asks for the answer to 2 decimal places. 5. Look at the third decimal place to decide whether to round up or down. The third decimal place is 8. 6. Since 8 is 5 or greater, we round up the second decimal place. 7. The second decimal place is 6, so it rounds up to 7. 8. The answer is 0.47.

Full Answer

0.47
To convert the fraction 15/32 to a decimal, we divide the numerator (15) by the denominator (32). Using a calculator: 15 ÷ 32 = 0.46875 The question asks for the answer to be given to 2 decimal places. To do this, we look at the third decimal place. The number is 0.46875. The first decimal place is 4. The second decimal place is 6. The third decimal place is 8. Since the third decimal place (8) is 5 or more, we round up the second decimal place. So, the 6 becomes a 7. The answer is 0.47.

Common mistakes

✗ Dividing 32 by 15. ✗ Rounding incorrectly (e.g., truncating to 0.46 or rounding down). ✗ Not rounding at all and giving the full decimal answer.

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