00:01
In this question we have been told that a sporting goods manufacturer has 5 and 1 9th yard of fabric to make soccer shorts.
00:08
Each pair of soccer shorts require 3 over 7 yard of fabric.
00:12
We need to find out how many pairs of soccer shorts can be made and how much material will be left over.
00:18
So first of all the total fabric is 5 and 1 9th.
00:30
So this is a mixed number we can convert this into improper fraction by multiplying the denominator by the whole number.
00:40
9 over 5 plus the numerator which is 1 divided by 9.
00:47
So this is 46 divided by 9.
00:52
So this is the total fabric.
00:54
The fabric required by the soccer shorts is 3 over 7.
01:03
So we are going to divide the total fabric by the required.
01:07
So 46 over 9 divided by this will give us the number of shorts that can be made divided by 3 over 7.
01:24
So we know that when we are dividing a fraction we can multiply it by its reciprocal.
01:31
So 46 over 9 is going to be multiplied by the reciprocal which is going to be 7 over 3.
01:38
So this is going to be so this is going to be 322 over 927.
01:49
So we can convert this into a mixed number by long division.
01:54
So this is 322 divided by 27.
01:59
So 27 into 11 that is 297.
02:10
So we are going to be left with 25 and we can divide no more further...