Richard is given one of four pieces of equal-sized fabric. After using some of his fabric for a project, he has 5/6 of a square yard left. If the total amount of fabric from the four original pieces was 11/23 square yards, about how much fabric did Richard use for his project?

Richard used of fabric for his project.

Step-by-step explanation:

Given:

Total amount of fabric =

Now To convert a mixed fraction to an improper fraction, Multiply the whole number part by the fraction's denominator,  Add that to the numerator,Then write the result on top of the denominator.

can be Rewritten as

Number of pieces fabric was cut = 4

Richard is given one of four pieces of equal-sized fabric.

Amount of fabric Richard was given =

Amount of fabric left with Richard =

We need to find the amount of fabric Richards used for his project.

Solution:

Now we can say that;

amount of fabric Richards used for his project is equal to Amount of fabric Richard was given minus Amount of fabric left with Richard.

framing in equation form we get;

amount of fabric Richards used for his project =

Now we will make the denominator common using LCM we get;

amount of fabric Richards used for his project =

Now Denominator is same so we will solve the numerator.

amount of fabric Richards used for his project  =

can be rewritten as

Hence Richard used of fabric for his project.