Problem

51 point
What is the difference of $\frac{5}{7}-\frac{3}{28}$ in lowest terms?
a. $\frac{23}{32}$
c. $\frac{8}{14}$
b. $\frac{17}{28}$
d. $\frac{4}{7}$
The answer is choose your answer...

Answer

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Answer

The difference of \(\frac{5}{7}-\frac{3}{28}\) in lowest terms is \(\boxed{\frac{17}{28}}\). So, the correct answer is (b).

Steps

Step 1 :To solve this problem, we need to subtract the two fractions. However, before we can do that, we need to find a common denominator.

Step 2 :The least common multiple of 7 and 28 is 28.

Step 3 :So, we will convert \(\frac{5}{7}\) to \(\frac{20}{28}\) and subtract \(\frac{3}{28}\) from it.

Step 4 :The difference of \(\frac{5}{7}-\frac{3}{28}\) in lowest terms is \(\boxed{\frac{17}{28}}\). So, the correct answer is (b).

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