Basic Math Examples

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

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

Step 1

To write

$\frac{3}{5}$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

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

Step 2

To write

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

$\frac{5}{5}$ .

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

Step 3

Write each expression with a common denominator of

$20$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{3}{5}$ by

$\frac{4}{4}$ .

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

Step 3.2

Multiply

$5$ by

$4$ .

$\frac{3 \cdot 4}{20} - \frac{1}{4} \cdot \frac{5}{5}$

Step 3.3

Multiply

$\frac{1}{4}$ by

$\frac{5}{5}$ .

$\frac{3 \cdot 4}{20} - \frac{5}{4 \cdot 5}$

Step 3.4

Multiply

$4$ by

$5$ .

$\frac{3 \cdot 4}{20} - \frac{5}{20}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 4 - 5}{20}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$3$ by

$4$ .

$\frac{12 - 5}{20}$

Step 5.2

Subtract

$5$ from

$12$ .

$\frac{7}{20}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{20}$

Decimal Form:

$0.35$