Basic Math Examples

\frac{3}{4} - \frac{5}{10}

$\frac{3}{4} - \frac{5}{10}$

Step 1

Cancel the common factor of

5

$5$ and

10

$10$ .

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Step 1.1

Factor

5

$5$ out of

5

$5$ .

\frac{3}{4} - \frac{5 (1)}{10}

$\frac{3}{4} - \frac{5 (1)}{10}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

5

$5$ out of

10

$10$ .

\frac{3}{4} - \frac{5 \cdot 1}{5 \cdot 2}

$\frac{3}{4} - \frac{5 \cdot 1}{5 \cdot 2}$

Step 1.2.2

Cancel the common factor.

$\frac{3}{4} - \frac{5 \cdot 1}{5 \cdot 2}$

Step 1.2.3

Rewrite the expression.

$\frac{3}{4} - \frac{1}{2}$

Step 2

To write

$- \frac{1}{2}$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$\frac{3}{4} - \frac{1}{2} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of

$4$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{1}{2}$ by

$\frac{2}{2}$ .

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

Step 3.2

Multiply

$2$ by

$2$ .

$\frac{3}{4} - \frac{2}{4}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 - 2}{4}$

Step 5

Subtract

$2$ from

$3$ .

$\frac{1}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$