Basic Math Examples

\frac{16}{5} - \frac{16}{25}

$\frac{16}{5} - \frac{16}{25}$

Step 1

To write

\frac{16}{5}

$\frac{16}{5}$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{16}{5} \cdot \frac{5}{5} - \frac{16}{25}

$\frac{16}{5} \cdot \frac{5}{5} - \frac{16}{25}$

Step 2

Write each expression with a common denominator of

25

$25$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1

Multiply

\frac{16}{5}

$\frac{16}{5}$ by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{16 \cdot 5}{5 \cdot 5} - \frac{16}{25}

$\frac{16 \cdot 5}{5 \cdot 5} - \frac{16}{25}$

Step 2.2

Multiply

5

$5$ by

5

$5$ .

\frac{16 \cdot 5}{25} - \frac{16}{25}

$\frac{16 \cdot 5}{25} - \frac{16}{25}$

\frac{16 \cdot 5}{25} - \frac{16}{25}

$\frac{16 \cdot 5}{25} - \frac{16}{25}$

Step 3

Combine the numerators over the common denominator.

\frac{16 \cdot 5 - 16}{25}

$\frac{16 \cdot 5 - 16}{25}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

16

$16$ by

5

$5$ .

\frac{80 - 16}{25}

$\frac{80 - 16}{25}$

Step 4.2

Subtract

16

$16$ from

80

$80$ .

\frac{64}{25}

$\frac{64}{25}$

\frac{64}{25}

$\frac{64}{25}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{64}{25}

$\frac{64}{25}$

Decimal Form:

2.56

$2.56$

Mixed Number Form:

2 \frac{14}{25}

$2 \frac{14}{25}$