How do you write 7 ¼ as an improper fraction?

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Answer 1 · 2018-03-16T12:34:24

See an explanation below:

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

The quick rule is:

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

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

Answer 2 · 2018-03-16T13:14:30

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

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:

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