Answer: choice F) 12 & 1/2 square yards.
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We'll use this formula
a & b/c = (a*c + b)/c
to convert from a mixed number to an improper fraction.
Let's convert the first mixed number to an improper fraction
a & b/c = (a*c + b)/c
3 & 3/4 = (3*4 + 3)/4
3 & 3/4 = 15/4
Repeat the same idea for the second mixed number as well
a & b/c = (a*c + b)/c
3 & 1/3 = (3*3 + 1)/3
3 & 1/3 = 10/3
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In short we have
- 3 & 3/4 = 15/4
- 3 & 1/3 = 10/3
Doing these conversions is useful to be able to multiply the values like so:
(15/4)*(10/3) = (15*10)/(4*3) = 150/12 = (6*25)/(6*2) = 25/2
Now use your calculator to find that 25/2 = 12.5
We can then say....
12.5 = 12 + 0.5 = 12 + (1/2) = 12 & 1/2
The answer is choice F) 12 & 1/2 square yards.