Basic Math Examples

$\frac{7}{8} \cdot \frac{3}{5} - \frac{1}{4}$

Step 1

Multiply $\frac{7}{8} \cdot \frac{3}{5}$ .

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Step 1.1

Multiply $\frac{7}{8}$ by $\frac{3}{5}$ .

$\frac{7 \cdot 3}{8 \cdot 5} - \frac{1}{4}$

Step 1.2

Multiply $7$ by $3$ .

$\frac{21}{8 \cdot 5} - \frac{1}{4}$

Step 1.3

Multiply $8$ by $5$ .

$\frac{21}{40} - \frac{1}{4}$

Step 2

To write $- \frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$\frac{21}{40} - \frac{1}{4} \cdot \frac{10}{10}$

Step 3

Write each expression with a common denominator of $40$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{1}{4}$ by $\frac{10}{10}$ .

$\frac{21}{40} - \frac{10}{4 \cdot 10}$

Step 3.2

Multiply $4$ by $10$ .

$\frac{21}{40} - \frac{10}{40}$

Step 4

Combine the numerators over the common denominator.

$\frac{21 - 10}{40}$

Step 5

Subtract $10$ from $21$ .

$\frac{11}{40}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{40}$

Decimal Form:

$0.275$