Basic Math Examples

\frac{11}{5} - \frac{7}{4}

$\frac{11}{5} - \frac{7}{4}$

Step 1

To write

\frac{11}{5}

$\frac{11}{5}$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{11}{5} \cdot \frac{4}{4} - \frac{7}{4}

$\frac{11}{5} \cdot \frac{4}{4} - \frac{7}{4}$

Step 2

To write

- \frac{7}{4}

$- \frac{7}{4}$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{11}{5} \cdot \frac{4}{4} - \frac{7}{4} \cdot \frac{5}{5}

$\frac{11}{5} \cdot \frac{4}{4} - \frac{7}{4} \cdot \frac{5}{5}$

Step 3

Write each expression with a common denominator of

20

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

1

$1$ .

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Step 3.1

Multiply

\frac{11}{5}

$\frac{11}{5}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{11 \cdot 4}{5 \cdot 4} - \frac{7}{4} \cdot \frac{5}{5}

$\frac{11 \cdot 4}{5 \cdot 4} - \frac{7}{4} \cdot \frac{5}{5}$

Step 3.2

Multiply

5

$5$ by

4

$4$ .

\frac{11 \cdot 4}{20} - \frac{7}{4} \cdot \frac{5}{5}

$\frac{11 \cdot 4}{20} - \frac{7}{4} \cdot \frac{5}{5}$

Step 3.3

Multiply

\frac{7}{4}

$\frac{7}{4}$ by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{11 \cdot 4}{20} - \frac{7 \cdot 5}{4 \cdot 5}

$\frac{11 \cdot 4}{20} - \frac{7 \cdot 5}{4 \cdot 5}$

Step 3.4

Multiply

4

$4$ by

5

$5$ .

\frac{11 \cdot 4}{20} - \frac{7 \cdot 5}{20}

$\frac{11 \cdot 4}{20} - \frac{7 \cdot 5}{20}$

\frac{11 \cdot 4}{20} - \frac{7 \cdot 5}{20}

$\frac{11 \cdot 4}{20} - \frac{7 \cdot 5}{20}$

Step 4

Combine the numerators over the common denominator.

\frac{11 \cdot 4 - 7 \cdot 5}{20}

$\frac{11 \cdot 4 - 7 \cdot 5}{20}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

11

$11$ by

4

$4$ .

\frac{44 - 7 \cdot 5}{20}

$\frac{44 - 7 \cdot 5}{20}$

Step 5.2

Multiply

- 7

$- 7$ by

5

$5$ .

\frac{44 - 35}{20}

$\frac{44 - 35}{20}$

Step 5.3

Subtract

35

$35$ from

44

$44$ .

\frac{9}{20}

$\frac{9}{20}$

\frac{9}{20}

$\frac{9}{20}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{9}{20}

$\frac{9}{20}$

Decimal Form:

0.45

$0.45$