# Liza has a long strip of cloth that is 9 3/4 ft. long. if she cuts it into three equal parts, how long would each piece be?

2
by stelly

2016-05-26T19:48:09+08:00
That would be 3 1/4 or 3.25 ft long each.

thank you :)
2016-05-27T17:51:21+08:00
If Liza has a long strip of cloth that is 9 3/4 ft. long and she cuts it into three equal parts, each piece would be 3 and 1/4 ft.

This is how you do it:

9 ¾ ÷3 is :

First you have to change the mixed number into an improper fraction:

9 ¾ --- 4 x 9 + 3 =  39

4               4

Divide 39/4 by 3.

39/4 ÷ 3/1

Cross Multiply:

39 x 1 =39

4 x 3 = 12

That becomes 39/12.

Reduce to its lowest term:

Find the GCF of the 2 numbers.

39=1, 3, 13, 39

12=1, 2, 3, 4, 6, 12

3 is the common factor

Divide:

39 ÷3= 13

12 ÷ 3 = 4

That makes up 13/4

Change into mixed number by dividing 13 by 4.

13 ÷ 4 is equals to 3 remainder 1.

In general rule, remainders should be the top number (numerator) and the divisor should be the bottom number (denominator).

That means; 3 (whole number) and 1/4 Or 3 1/4

SEE ATTACHED FILE for a more detailed explanation.