Basic Math Examples

7 - 4 \frac{3}{4}

$7 - 4 \frac{3}{4}$

Step 1

Convert

4 \frac{3}{4}

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

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Step 1.1

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

7 - (4 + \frac{3}{4})

$7 - (4 + \frac{3}{4})$

Step 1.2

Add

4

$4$ and

\frac{3}{4}

$\frac{3}{4}$ .

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Step 1.2.1

To write

4

$4$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

7 - (4 \cdot \frac{4}{4} + \frac{3}{4})

$7 - (4 \cdot \frac{4}{4} + \frac{3}{4})$

Step 1.2.2

Combine

4

$4$ and

\frac{4}{4}

$\frac{4}{4}$ .

7 - (\frac{4 \cdot 4}{4} + \frac{3}{4})

$7 - (\frac{4 \cdot 4}{4} + \frac{3}{4})$

Step 1.2.3

Combine the numerators over the common denominator.

7 - \frac{4 \cdot 4 + 3}{4}

$7 - \frac{4 \cdot 4 + 3}{4}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

4

$4$ by

4

$4$ .

7 - \frac{16 + 3}{4}

$7 - \frac{16 + 3}{4}$

Step 1.2.4.2

Add

16

$16$ and

3

$3$ .

7 - \frac{19}{4}

$7 - \frac{19}{4}$

7 - \frac{19}{4}

$7 - \frac{19}{4}$

7 - \frac{19}{4}

$7 - \frac{19}{4}$

7 - \frac{19}{4}

$7 - \frac{19}{4}$

Step 2

To write

7

$7$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

7 \cdot \frac{4}{4} - \frac{19}{4}

$7 \cdot \frac{4}{4} - \frac{19}{4}$

Step 3

Combine

7

$7$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{7 \cdot 4}{4} - \frac{19}{4}

$\frac{7 \cdot 4}{4} - \frac{19}{4}$

Step 4

Combine the numerators over the common denominator.

\frac{7 \cdot 4 - 19}{4}

$\frac{7 \cdot 4 - 19}{4}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

7

$7$ by

4

$4$ .

\frac{28 - 19}{4}

$\frac{28 - 19}{4}$

Step 5.2

Subtract

19

$19$ from

28

$28$ .

\frac{9}{4}

$\frac{9}{4}$

\frac{9}{4}

$\frac{9}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{9}{4}

$\frac{9}{4}$

Decimal Form:

2.25

$2.25$

Mixed Number Form:

2 \frac{1}{4}

$2 \frac{1}{4}$