Question

Add. Reduce to lowest terms. 6 4/5 + 3 7/10 =

Answer 1

$6 \frac{4}{5}+3 \frac{7}{10} = \frac{34}{5} + \frac{37}{10} = \frac{34 * 2}{10}+ \frac{37}{10} = \frac{2*34+37}{10} = \frac{105}{10} = \frac{21}{2} = 10 \frac{1}{2}$

Answer 2

Answer:

$10\frac{1}{2}$

Step-by-step explanation:

We are asked to add the given mixed fractions.

$6\frac{4}{5}+3\frac{7}{10}$

First of all, let us convert mixed fractions into improper fractions as:

$6\frac{4}{5}\Rightarrow \frac{6\times 5+4}{5}=\frac{30+4}{5}=\frac{34}{5}$

$3\frac{7}{10}\Rightarrow \frac{3\times 10+7}{10}=\frac{30+7}{10}=\frac{37}{10}$

$6\frac{4}{5}+3\frac{7}{10}\Rightarrow \frac{34}{5}+\frac{37}{10}$

Make a common denominator:

$\frac{34\times 2}{5\times 2}+\frac{37}{10}$

$\frac{68}{10}+\frac{37}{10}$

Combine numerators:

$\frac{68+37}{10}$

$\frac{105}{10}$

$\frac{5\times 21}{5\times 2}$

$\frac{21}{2}$

$10\frac{1}{2}$

Therefore, the simplified form of our given addition problem would be $10\frac{1}{2}$ .