How_To_Be_Good_At_Math

CALCULATING • CONVERTING REMAINDERS 149

To turn this remainder 3 into a decimal,

continue calculating. Place a decimal point

at the end of the dividend and put a zero next to

it. Add another decimal point above the division

bracket, with a tenths column to the right. Bring

down the new zero in the dividend to sit by the

remainder 3. Now divide 30 by 6. We know that

6 × 5 = 30, so the answer is 5. Write this on the

division bracket in the tenths column.

Here, expanded short division has

been used to divide 20 by 8. The

answer is 2 r4.

6

2 5

6

5

−

So, the remainder is^4 / 8. We know that

(^4) / 8 is the same as (^2) / 4 , which is the same
as^1 / 2 , so we can use the fraction^1 / 2 instead.
7 5. 0
.
As there’s no remainder, we can end
our calculation here. So, 75 ÷ 6 = 12.5
75 ÷ 6 = 12.5
20 ÷ 8 = 2
r4 = = =
Place a decimal
point here,
between the
ones and the
tenths columns
Use the
remainder as
the numerator
in the fraction
Use the divisor as the
denominator in the fraction
Converting remainders into fractions
It’s simple to convert remainders into fractions. First, we
carry out the division calculation. To turn the remainder into
a fraction, we simply write the remainder as the numerator
in the fraction and the divisor as the denominator.
−
8
OT
2 0
(^16)
4
2 r4
So, 20 ÷ 8 = 2^1 / 2. We can tell that our
remainder is correct, because we know
that half of 8 is 4, so a remainder of 4 can be
written as^1 / 2.
The numerator is the top
number in a fraction.
The denominator is the
one below.
1
2
1
2
2
4
4
8
1
1
1 2
3 0
T O 101
148_149_Coverting_remainders.indd 149 29/02/2016 18:57