Basic Math Examples

8 - 1 \frac{3}{4}

$8 - 1 \frac{3}{4}$

Step 1

Convert

1 \frac{3}{4}

$1 \frac{3}{4}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

8 - (1 + \frac{3}{4})

$8 - (1 + \frac{3}{4})$

Step 1.2

Add

1

$1$ and

\frac{3}{4}

$\frac{3}{4}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

8 - (\frac{4}{4} + \frac{3}{4})

$8 - (\frac{4}{4} + \frac{3}{4})$

Step 1.2.2

Combine the numerators over the common denominator.

8 - \frac{4 + 3}{4}

$8 - \frac{4 + 3}{4}$

Step 1.2.3

Add

4

$4$ and

3

$3$ .

8 - \frac{7}{4}

$8 - \frac{7}{4}$

8 - \frac{7}{4}

$8 - \frac{7}{4}$

8 - \frac{7}{4}

$8 - \frac{7}{4}$

Step 2

To write

8

$8$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

8 \cdot \frac{4}{4} - \frac{7}{4}

$8 \cdot \frac{4}{4} - \frac{7}{4}$

Step 3

Combine

8

$8$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{8 \cdot 4}{4} - \frac{7}{4}

$\frac{8 \cdot 4}{4} - \frac{7}{4}$

Step 4

Combine the numerators over the common denominator.

\frac{8 \cdot 4 - 7}{4}

$\frac{8 \cdot 4 - 7}{4}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

8

$8$ by

4

$4$ .

\frac{32 - 7}{4}

$\frac{32 - 7}{4}$

Step 5.2

Subtract

7

$7$ from

32

$32$ .

\frac{25}{4}

$\frac{25}{4}$

\frac{25}{4}

$\frac{25}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{25}{4}

$\frac{25}{4}$

Decimal Form:

6.25

$6.25$

Mixed Number Form:

6 \frac{1}{4}

$6 \frac{1}{4}$