SOLUTION: A backyard has dimensions 1 1/3 yards by 3 4/5 yards. What is the area of the backyard in square yards (yd^2).

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Question 112018: A backyard has dimensions 1 1/3 yards by 3 4/5 yards. What is the area of the backyard in square yards (yd^2).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First convert 1%261%2F3 to an improper fraction

1%261%2F3 Start with the given mixed number

3%2A1=3 Multiply the denominator 3 by the whole number 1 to get 3

3%2B1=4. Add 3 to the numerator 1 to get 4. This final result is the new numerator

4%2F3 Place the new numerator over the same denominator

So the mixed number 1%261%2F3 is equivalent to the improper fraction 4%2F3


Now convert 3%264%2F5 to an improper fraction




3%264%2F5 Start with the given mixed number

5%2A3=15 Multiply the denominator 5 by the whole number 3 to get 15

15%2B4=19. Add 15 to the numerator 4 to get 19. This final result is the new numerator

19%2F5 Place the new numerator over the same denominator

So the mixed number 3%264%2F5 is equivalent to the improper fraction 19%2F5



So now the yard is 4%2F3 yd by 19%2F5 yd (which is the same as 1%261%2F3 by 3%264%2F5)


Now multiply 4%2F3 by 19%2F5


%284%2F3%29%2819%2F5%29=%284%2A19%29%2F%283%2A5%29=76%2F15


So the area is 76%2F15 sq yds (or 5.06666 sq yds)