How do you simplify $5 \frac{5}{7} + 2 \frac{1}{3}$ $5 5/7 + 2 1/3$ ?

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Answer 1 · 2016-08-24T03:16:47

$8 \frac{1}{21}$ $8 1/21$
Add the whole numbers then find a common denominator in order to add the fractions.

It is only possible to add or subtract fractions that are the same.

The whole numbers 5 + 2 can be added because they are the same, both are whole numbers. 5 + 2 =7

$(\frac{5}{7})$ $(5/7)$ and $(\frac{1}{3})$ $(1/3)$ cannot be added because they are not the same type of fraction.

To make them the same they must have the same denominator .

The common denominator is $3 \times 7 = 21$ $3 xx 7 = 21$

Multiply $\frac{5}{7} \times \frac{3}{3}$ $5/7 xx 3/3$ and $\frac{1}{3} \times \frac{7}{7}$ $1/3 xx 7/7$

This gives $\frac{15}{21}$ $15/21$ and $\frac{7}{21}$ $7/ 21$

Now these can be added because they are the same.

$\frac{15}{21}$ $15/21$ + $\frac{7}{21}$ $7/21$ = $\frac{22}{21}$ $22/21$

$\frac{22}{21} = 1 \frac{1}{21}$ $22/21 = 1 1/21$

$7 + 1 \frac{1}{21} = 8 \frac{1}{21}$ $7 + 1 1/21 = 8 1/21$

How do you simplify 557+2135 5/7 + 2 1/3?