Basic Math Examples

$\frac{7}{10} + \frac{1}{4} - \frac{1}{5}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{7}{10}$ by $\frac{2}{2}$ .

$\frac{7}{10} \cdot \frac{2}{2} + \frac{1}{4} - \frac{1}{5}$

Step 1.2

Multiply $\frac{7}{10}$ by $\frac{2}{2}$ .

$\frac{7 \cdot 2}{10 \cdot 2} + \frac{1}{4} - \frac{1}{5}$

Step 1.3

Multiply $\frac{1}{4}$ by $\frac{5}{5}$ .

$\frac{7 \cdot 2}{10 \cdot 2} + \frac{1}{4} \cdot \frac{5}{5} - \frac{1}{5}$

Step 1.4

Multiply $\frac{1}{4}$ by $\frac{5}{5}$ .

$\frac{7 \cdot 2}{10 \cdot 2} + \frac{5}{4 \cdot 5} - \frac{1}{5}$

Step 1.5

Multiply $\frac{1}{5}$ by $\frac{4}{4}$ .

$\frac{7 \cdot 2}{10 \cdot 2} + \frac{5}{4 \cdot 5} - (\frac{1}{5} \cdot \frac{4}{4})$

Step 1.6

Multiply $\frac{1}{5}$ by $\frac{4}{4}$ .

$\frac{7 \cdot 2}{10 \cdot 2} + \frac{5}{4 \cdot 5} - \frac{4}{5 \cdot 4}$

Step 1.7

Reorder the factors of $10 \cdot 2$ .

$\frac{7 \cdot 2}{2 \cdot 10} + \frac{5}{4 \cdot 5} - \frac{4}{5 \cdot 4}$

Step 1.8

Multiply $2$ by $10$ .

$\frac{7 \cdot 2}{20} + \frac{5}{4 \cdot 5} - \frac{4}{5 \cdot 4}$

Step 1.9

Multiply $4$ by $5$ .

$\frac{7 \cdot 2}{20} + \frac{5}{20} - \frac{4}{5 \cdot 4}$

Step 1.10

Reorder the factors of $5 \cdot 4$ .

$\frac{7 \cdot 2}{20} + \frac{5}{20} - \frac{4}{4 \cdot 5}$

Step 1.11

Multiply $4$ by $5$ .

$\frac{7 \cdot 2}{20} + \frac{5}{20} - \frac{4}{20}$

Step 2

Combine the numerators over the common denominator.

$\frac{7 \cdot 2 + 5 - 4}{20}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $7$ by $2$ .

$\frac{14 + 5 - 4}{20}$

Step 3.2

Add $14$ and $5$ .

$\frac{19 - 4}{20}$

Step 3.3

Subtract $4$ from $19$ .

$\frac{15}{20}$

Step 4

Cancel the common factor of $15$ and $20$ .

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Step 4.1

Factor $5$ out of $15$ .

$\frac{5 (3)}{20}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $5$ out of $20$ .

$\frac{5 \cdot 3}{5 \cdot 4}$

Step 4.2.2

Cancel the common factor.

$\frac{5 \cdot 3}{5 \cdot 4}$

Step 4.2.3

Rewrite the expression.

$\frac{3}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$