Mark B. answered • 11/17/17
Tutor
New to Wyzant
PhD Candidate in Psychology: Experienced Math, Statistics, Tutor
Hello Aishni,
In your problem you are basically being asked what 5/9 of the area of a rectangle is. Here is why: when you multiply length times width, you find the area in squares or squared units.
So, for example: If the length of a rectangle is 7 inches, and the width 4 inches, you would arrive at 28 squares or 28 squared units.
Therefore, you do not need to know the length or width of this rectangle to solve the problem. To solve:
Take 18 and multiply that value by 5/9.
18 is the exact same as 18/1, correct? Any number (whether 2, 3, 4, 5, ....) if left in that form is assumed to have a one under it if converting to a fraction, which you need to do to solve your problem.
Therefore:
18/1 x 5/9 allows you to cross-multiply in order to simplify. This means you are taking the numerator on the first fraction and dividing the denominator from the right into that, correct?
9 goes into 18 how many times? 2, right? And when you divide the 9 from that second fraction's denominator into the first fraction's numerator, you are left with a 1 for the denominator.
That means you are left with the following:
2/1 x 5/1 due to simplification, correct? Do you see it?
Multiplying these two fractions since simplified leaves you with 10/1 or remember our rule above, just 10.
This means 5/9 of the 18 squares is going to be 10.
Please ask any follow-up questions you may have. I hope I have assisted you and that you have a nice weekend.
In your problem you are basically being asked what 5/9 of the area of a rectangle is. Here is why: when you multiply length times width, you find the area in squares or squared units.
So, for example: If the length of a rectangle is 7 inches, and the width 4 inches, you would arrive at 28 squares or 28 squared units.
Therefore, you do not need to know the length or width of this rectangle to solve the problem. To solve:
Take 18 and multiply that value by 5/9.
18 is the exact same as 18/1, correct? Any number (whether 2, 3, 4, 5, ....) if left in that form is assumed to have a one under it if converting to a fraction, which you need to do to solve your problem.
Therefore:
18/1 x 5/9 allows you to cross-multiply in order to simplify. This means you are taking the numerator on the first fraction and dividing the denominator from the right into that, correct?
9 goes into 18 how many times? 2, right? And when you divide the 9 from that second fraction's denominator into the first fraction's numerator, you are left with a 1 for the denominator.
That means you are left with the following:
2/1 x 5/1 due to simplification, correct? Do you see it?
Multiplying these two fractions since simplified leaves you with 10/1 or remember our rule above, just 10.
This means 5/9 of the 18 squares is going to be 10.
Please ask any follow-up questions you may have. I hope I have assisted you and that you have a nice weekend.
