Basic Math Examples

$\frac{5}{4} - \frac{4}{5} = n$

Step 1

Rewrite the equation as $n = \frac{5}{4} - \frac{4}{5}$ .

$n = \frac{5}{4} - \frac{4}{5}$

Step 2

Simplify $\frac{5}{4} - \frac{4}{5}$ .

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Step 2.1

To write $\frac{5}{4}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$n = \frac{5}{4} \cdot \frac{5}{5} - \frac{4}{5}$

Step 2.2

To write $- \frac{4}{5}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$n = \frac{5}{4} \cdot \frac{5}{5} - \frac{4}{5} \cdot \frac{4}{4}$

Step 2.3

Write each expression with a common denominator of $20$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.3.1

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

$n = \frac{5 \cdot 5}{4 \cdot 5} - \frac{4}{5} \cdot \frac{4}{4}$

Step 2.3.2

Multiply $4$ by $5$ .

$n = \frac{5 \cdot 5}{20} - \frac{4}{5} \cdot \frac{4}{4}$

Step 2.3.3

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

$n = \frac{5 \cdot 5}{20} - \frac{4 \cdot 4}{5 \cdot 4}$

Step 2.3.4

Multiply $5$ by $4$ .

$n = \frac{5 \cdot 5}{20} - \frac{4 \cdot 4}{20}$

Step 2.4

Combine the numerators over the common denominator.

$n = \frac{5 \cdot 5 - 4 \cdot 4}{20}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $5$ by $5$ .

$n = \frac{25 - 4 \cdot 4}{20}$

Step 2.5.2

Multiply $- 4$ by $4$ .

$n = \frac{25 - 16}{20}$

Step 2.5.3

Subtract $16$ from $25$ .

$n = \frac{9}{20}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$n = \frac{9}{20}$

Decimal Form:

$n = 0.45$