# How do you divide 3\frac { 2} { 3} + 4\frac { 3} { 7} =?

Mar 4, 2017

Dividing gives: $\frac{77}{91}$

Adding gives $8 \frac{2}{21}$

#### Explanation:

It seems there is a problem with the question:

If it is meant to be division: $3 \frac{2}{3} \div 4 \frac{3}{7}$

Change to improper fractions: $\frac{11}{3} \div \frac{31}{7}$

Multiply by the reciprocal: $\frac{11}{3} \times \frac{7}{31}$

Nothing cancels. Multiply across: $\frac{77}{91}$

Fractions which will give a recurring decimal are better left in fraction form which is accurate and does not entail any rounding off.

If it is meant to be addition: $3 \frac{2}{3} + 4 \frac{3}{7}$

Add the whole numbers then find a common denominator and make equivalent fractions:

$3 \frac{2}{3} + 4 \frac{3}{7} = 7 \frac{14 + 9}{21}$

$= 7 \frac{23}{21} = 7 + 1 \frac{2}{21}$

$8 \frac{2}{21}$