Question

How do you write 7 ¼ as an improper fraction?

Answer 1

See an explanation below:

Explanation:

`7 1/4 = 7 + 1/4 = (4/4 xx 7) + 1/4 = 28/4 + 1/4 = (28 + 1)4 = 29/4`

The quick rule is:

• Multiply the integer by the denominator: `7 xx 4 = 28`

• Add the numerator to this product: `28 + 1 = 29`

• Put this result over the denominator: `29/4`

`I n/d = ((I xx d) + n)/d`

`7 1/4 = ((7 xx 4) + 1)/4 = (28 + 1)/4 = 29/4`

Answer 2

`7 1/4 = (4xx7+1)/4 = 29/4`

Explanation:

When a number is given an improper fraction, it means the entire number is given as a number of portions.

If the portion size is quarters, the improper fraction will show how many quarters there are altogether.
Note than every whole number is `4/4`

If the portion size is thirds, the improper fraction will show how many thirds there are altogether.
Note than every whole number is `3/3`

If the portion size is sixths, the improper fraction will show how many sixths there are altogether.
Note than every whole number is `6/6`

In this case we have `7 1/4` which is made up of `7` whole numbers and an extra `1/4`

In each of the `7` whole numbers there are `4/4`....

Altogether that is `7 xx 4 = 28` quarters, written as `28/4`

But there is an extra `1/4`, meaning we have `29/4`

To calculate it quickly:

`7 1/4 = (4xx7+1)/4 = 29/4`