Algebra Examples

$(40 a \frac{4}{7}) \div (55 a \frac{1}{5})$

Step 1

Reduce the expression $(40 a \frac{4}{7}) \div (55 a \frac{1}{5})$ by cancelling the common factors.

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Step 1.1

Factor $5$ out of $40 a \frac{4}{7}$ .

$5 (8 a \frac{4}{7}) \div 55 a \frac{1}{5}$

Step 1.2

Factor $5$ out of $55 a \frac{1}{5}$ .

$5 (8 a \frac{4}{7}) \div 5 (11 a \frac{1}{5})$

Step 1.3

Cancel the common factor.

$5 (8 a \frac{4}{7}) \div 5 (11 a \frac{1}{5})$

Step 1.4

Rewrite the expression.

$\frac{8 a \frac{4}{7}}{11 a \frac{1}{5}}$

Step 2

Reduce the expression $\frac{8 a \frac{4}{7}}{11 a \frac{1}{5}}$ by cancelling the common factors.

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Step 2.1

Cancel the common factor.

$\frac{8 a \frac{4}{7}}{11 a \frac{1}{5}}$

Step 2.2

Rewrite the expression.

$\frac{8 (\frac{4}{7})}{11 (\frac{1}{5})}$

Step 3

Combine $8$ and $\frac{4}{7}$ .

$\frac{\frac{8 \cdot 4}{7}}{11 (\frac{1}{5})}$

Step 4

Combine $11$ and $\frac{1}{5}$ .

$\frac{\frac{8 \cdot 4}{7}}{\frac{11}{5}}$

Step 5

Multiply $8$ by $4$ .

$\frac{\frac{32}{7}}{\frac{11}{5}}$

Step 6

Multiply the numerator by the reciprocal of the denominator.

$\frac{32}{7} \cdot \frac{5}{11}$

Step 7

Multiply $\frac{32}{7} \cdot \frac{5}{11}$ .

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Step 7.1

Multiply $\frac{32}{7}$ by $\frac{5}{11}$ .

$\frac{32 \cdot 5}{7 \cdot 11}$

Step 7.2

Multiply $32$ by $5$ .

$\frac{160}{7 \cdot 11}$

Step 7.3

Multiply $7$ by $11$ .

$\frac{160}{77}$