Hi i need help here please
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Answer:
55/77
Step-by-step explanation:
The sum of the numbers in the given fraction is 5+7=12. The sum 132 is 11 times that value. Multiplying 5/7 by (11/11) will give the fraction you want:
(5/7)×(11/11) = 55/77 = 5/7
Explanation:
Let x be some number such that it is not zero.
The fraction (5x)/(7x) reduces to 5/7.
The numerator and denominator of (5x)/(7x) add to 5x+7x = 12x
Set this equal to 132 and solve for x
12x = 132
x = 132/12
x = 11
Therefore,
(5x)/(7x) = (5*11)/(7*11) = 55/77
So we can see that
55+77 = 132
To reduce 55/77, we would divide both parts by the GCF 11, which was the value of x found earlier.