Algebra Examples

$\frac{3}{8} \cdot 1 \frac{5}{7}$

Step 1

Convert $1 \frac{5}{7}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$\frac{3}{8} \cdot (1 + \frac{5}{7})$

Step 1.2

Add $1$ and $\frac{5}{7}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

$\frac{3}{8} \cdot (\frac{7}{7} + \frac{5}{7})$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{3}{8} \cdot \frac{7 + 5}{7}$

Step 1.2.3

Add $7$ and $5$ .

$\frac{3}{8} \cdot \frac{12}{7}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $8$ .

$\frac{3}{4 (2)} \cdot \frac{12}{7}$

Step 2.2

Factor $4$ out of $12$ .

$\frac{3}{4 \cdot 2} \cdot \frac{4 \cdot 3}{7}$

Step 2.3

Cancel the common factor.

$\frac{3}{4 \cdot 2} \cdot \frac{4 \cdot 3}{7}$

Step 2.4

Rewrite the expression.

$\frac{3}{2} \cdot \frac{3}{7}$

Step 3

Multiply $\frac{3}{2}$ by $\frac{3}{7}$ .

$\frac{3 \cdot 3}{2 \cdot 7}$

Step 4

Multiply.

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Step 4.1

Multiply $3$ by $3$ .

$\frac{9}{2 \cdot 7}$

Step 4.2

Multiply $2$ by $7$ .

$\frac{9}{14}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{14}$

Decimal Form:

$0.6\overline{428571}$