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In this worksheet we will divide numbers with up to 4 digits by 2-digit numbers using long division.
There will be remainders which should be written as fractions.
Let's look at 1986 ÷ 15
We start by setting out the calculation as usual, like this, and then start dividing.
First we divide 19 ÷ 15 = 1 rem 4.
(Remember that 1 × 15 = 15 and so the remainder is 19 - 15 = 4.)
Bring the 8 down next to the 4.
Then we divide 48 ÷ 15 = 3 rem 3.
(Remember that 3 × 15 = 45 and so the remainder is 48 - 45 = 3.)
Bring the 6 down next to the 3.
Now we divide 36 ÷ 15 = 2 rem 6.
(Remember that 2 × 15 = 30 and so the remainder is 39 - 30 = 9.)
The final remainder is 6, but we want to write this as a fraction.
We are dividing by 15, so a remainder of 6 is actually the fraction 6/15.
6 |
15 |
To reduce this fraction to its lowest terms, we look for the highest number that goes into 6 and 15.
This will be 3, because 2 × 3 = 6 and 5 × 3 = 15.
So we divide the top and the bottom numbers by the magic number 3, to get 2 and 5.
6 | = | 2 |
15 | 5 |
We have shown that 1986 ÷ 15 =
132 | 2 |
5 |
In this worksheet, this will be written as 132 2/5 with a space between the 132 and the 2/5.
Question
/ 10Mr Shepherd
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Teacher explanation