How do you write 7 ¼ as an improper fraction?

2 Answers
Mar 16, 2018

Answer:

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#

Mar 16, 2018

Answer:

#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#