Question

Find the difference 5 2/3 - 3 1/5 A. 5 2/3 B. 8 13/15 C. 2 7/15 D. 3 1/5

Answer 1

To find the difference of given expression:

$5\frac{2}{3} -3\frac{1}{5}$

First step is to subtract the whole number5 and 3.

So, 5 - 3 = 2.

Now we can find the difference of fractions.

To subtract the fractions , we need to find the common denominator.

Common denominator of 3 and 5 is 15.

So, we need to make both the denominator equal to 15.

$\frac{2}{3} =\frac{2*5}{3*5} =\frac{10}{15}$

Similarly, $\frac{1}{5} =\frac{1*3}{3*5} = \frac{3}{15}$

Therefore, $\frac{2}{3} -\frac{1}{5} =\frac{10}{15} -\frac{3}{15}$

=$\frac{10-3}{15}$

= $\frac{7}{15}$

So, the difference of given expression is $2\frac{7}{15}$.

So, the correct choice is C.