Question

Find the sum. Write your answer in simplest form. 3 1/6 + 4 5/6

Answer 1

Answer:

$8$

Step-by-step explanation:

In order to get the answer to this question you must turn the mixed numbers into improper fractions find the common denominator and then add the numerators.

$3\frac{1}{6} +4\frac{5}{6}$

Turn the mixed numbers into improper fractions:

$3\frac{1}{6} =\frac{19}{6}$

$4\frac{5}{6} =\frac{29}{6}$

$\frac{19}{6} +\frac{29}{6}$

Find the common denominator

$CD=12$

$19\times2=38$

$6\times2=12$

$29\times2=58$

$6\times2=12$

Add the numerators:

$38+58=96$

$=\frac{96}{12}$

Simplify:

$96\div2=48$

$12\div2=6$

Simplify again:

$48\div2=24$

$6\div2=3$

$=\frac{24}{3}$

Turn the improper fraction into a mixed number:

$\frac{24}{3} = 8$

$=8$

Hope this helps.