Question

what is the sum of 3 7/8+2 5/16 + 3/16 reduced to the lowest denominator?
6 3/8
6 1/2
6 3/4
6 6/16

Explanation:

Step1: Convert mixed - numbers to improper fractions

$3\frac{7}{8}=\frac{3\times8 + 7}{8}=\frac{31}{8}$, $2\frac{5}{16}=\frac{2\times16+5}{16}=\frac{37}{16}$

Step2: Find a common denominator

The common denominator of 8 and 16 is 16. So, $\frac{31}{8}=\frac{31\times2}{8\times2}=\frac{62}{16}$

Step3: Add the fractions

$\frac{62}{16}+\frac{37}{16}+\frac{3}{16}=\frac{62 + 37+3}{16}=\frac{102}{16}$

Step4: Convert back to a mixed - number and simplify

$\frac{102}{16}=6\frac{6}{16}$, and $\frac{6}{16}=\frac{3}{8}$, so the sum is $6\frac{3}{8}$

Answer:

$6\frac{3}{8}$