# Video: GCSE Mathematics Foundation Tier Pack 1 • Paper 3 • Question 1

GCSE Mathematics Foundation Tier Pack 1 • Paper 3 • Question 1

02:07

### Video Transcript

Calculate 27 plus seven divided by 13 minus three.

Our first step is to calculate the numerator and denominator separately. On the top, we need to add 27 and seven. And on the bottom, we need to subtract three from 13. 27 plus seven is equal to 34 and 13 minus three is equal to 10. This means that 27 plus seven divided by 13 minus three is equal to 34 divided by 10 or thirty-four tenths.

Our final answer can be written as a fraction or a decimal. We can simplify the fraction thirty-four tenths by dividing the numerator and denominator by two. Remember whatever you do to the top, you must do to the bottom. 34 divided by two or a half of 34 is equal to 17 and 10 divided by two is equal to five. This means that thirty-four tenths can be rewritten or is equivalent to seventeen fifths, 17 divided by five.

We can also turn this answer into a mixed fraction or mixed number. There are three fives in 17 and we have a remainder of two. Therefore, seventeen fifths is the same as three and two-fifths. The two fractions seventeen fifths and three and two-fifths are equivalent. We can also simplify thirty-four tenths by dividing 34 by 10. This is equal to 3.4.

The calculation 27 plus seven divided by 13 minus three is equal to seventeen fifths or 3.4.