Simplify (7a+7b)/(5a+5b)

$\frac{7 a + 7 b}{5 a + 5 b}$

Step 1

Factor $7$ out of $7 a + 7 b$ .

Factor $7$ out of $7 a$ .

$\frac{7 (a) + 7 b}{5 a + 5 b}$

Factor $7$ out of $7 b$ .

$\frac{7 (a) + 7 (b)}{5 a + 5 b}$

Factor $7$ out of $7 (a) + 7 (b)$ .

$\frac{7 (a + b)}{5 a + 5 b}$

$\frac{7 (a + b)}{5 a + 5 b}$

Step 2

Factor $5$ out of $5 a + 5 b$ .

Factor $5$ out of $5 a$ .

$\frac{7 (a + b)}{5 (a) + 5 b}$

Factor $5$ out of $5 b$ .

$\frac{7 (a + b)}{5 (a) + 5 (b)}$

Factor $5$ out of $5 (a) + 5 (b)$ .

$\frac{7 (a + b)}{5 (a + b)}$

$\frac{7 (a + b)}{5 (a + b)}$

Step 3

Cancel the common factor of $a + b$ .

Cancel the common factor.

$\frac{7 (a + b)}{5 (a + b)}$

Rewrite the expression.

$\frac{7}{5}$

$\frac{7}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{5}$

Decimal Form:

$1.4$

Mixed Number Form:

$1 \frac{2}{5}$

Related Questions