Basic Math Examples

7 \frac{1}{2} - 1 \frac{3}{4}

$7 \frac{1}{2} - 1 \frac{3}{4}$

Step 1

Convert

7 \frac{1}{2}

$7 \frac{1}{2}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

7 + \frac{1}{2} - 1 \frac{3}{4}

$7 + \frac{1}{2} - 1 \frac{3}{4}$

Step 1.2

Add

7

$7$ and

\frac{1}{2}

$\frac{1}{2}$ .

Tap for more steps...

Step 1.2.1

To write

7

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

\frac{2}{2}

$\frac{2}{2}$ .

7 \cdot \frac{2}{2} + \frac{1}{2} - 1 \frac{3}{4}

$7 \cdot \frac{2}{2} + \frac{1}{2} - 1 \frac{3}{4}$

Step 1.2.2

Combine

7

$7$ and

\frac{2}{2}

$\frac{2}{2}$ .

\frac{7 \cdot 2}{2} + \frac{1}{2} - 1 \frac{3}{4}

$\frac{7 \cdot 2}{2} + \frac{1}{2} - 1 \frac{3}{4}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{7 \cdot 2 + 1}{2} - 1 \frac{3}{4}

$\frac{7 \cdot 2 + 1}{2} - 1 \frac{3}{4}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

7

$7$ by

2

$2$ .

\frac{14 + 1}{2} - 1 \frac{3}{4}

$\frac{14 + 1}{2} - 1 \frac{3}{4}$

Step 1.2.4.2

Add

14

$14$ and

1

$1$ .

\frac{15}{2} - 1 \frac{3}{4}

$\frac{15}{2} - 1 \frac{3}{4}$

\frac{15}{2} - 1 \frac{3}{4}

$\frac{15}{2} - 1 \frac{3}{4}$

\frac{15}{2} - 1 \frac{3}{4}

$\frac{15}{2} - 1 \frac{3}{4}$

\frac{15}{2} - 1 \frac{3}{4}

$\frac{15}{2} - 1 \frac{3}{4}$

Step 2

Convert

1 \frac{3}{4}

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

Tap for more steps...

Step 2.1

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

\frac{15}{2} - (1 + \frac{3}{4})

$\frac{15}{2} - (1 + \frac{3}{4})$

Step 2.2

Add

1

$1$ and

\frac{3}{4}

$\frac{3}{4}$ .

Tap for more steps...

Step 2.2.1

Write

1

$1$ as a fraction with a common denominator.

\frac{15}{2} - (\frac{4}{4} + \frac{3}{4})

$\frac{15}{2} - (\frac{4}{4} + \frac{3}{4})$

Step 2.2.2

Combine the numerators over the common denominator.

\frac{15}{2} - \frac{4 + 3}{4}

$\frac{15}{2} - \frac{4 + 3}{4}$

Step 2.2.3

Add

4

$4$ and

3

$3$ .

\frac{15}{2} - \frac{7}{4}

$\frac{15}{2} - \frac{7}{4}$

\frac{15}{2} - \frac{7}{4}

$\frac{15}{2} - \frac{7}{4}$

\frac{15}{2} - \frac{7}{4}

$\frac{15}{2} - \frac{7}{4}$

Step 3

To write

\frac{15}{2}

$\frac{15}{2}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{15}{2} \cdot \frac{2}{2} - \frac{7}{4}

$\frac{15}{2} \cdot \frac{2}{2} - \frac{7}{4}$

Step 4

Write each expression with a common denominator of

4

$4$ , by multiplying each by an appropriate factor of

1

$1$ .

Tap for more steps...

Step 4.1

Multiply

\frac{15}{2}

$\frac{15}{2}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{15 \cdot 2}{2 \cdot 2} - \frac{7}{4}

$\frac{15 \cdot 2}{2 \cdot 2} - \frac{7}{4}$

Step 4.2

Multiply

2

$2$ by

2

$2$ .

\frac{15 \cdot 2}{4} - \frac{7}{4}

$\frac{15 \cdot 2}{4} - \frac{7}{4}$

\frac{15 \cdot 2}{4} - \frac{7}{4}

$\frac{15 \cdot 2}{4} - \frac{7}{4}$

Step 5

Combine the numerators over the common denominator.

\frac{15 \cdot 2 - 7}{4}

$\frac{15 \cdot 2 - 7}{4}$

Step 6

Simplify the numerator.

Tap for more steps...

Step 6.1

Multiply

15

$15$ by

2

$2$ .

\frac{30 - 7}{4}

$\frac{30 - 7}{4}$

Step 6.2

Subtract

7

$7$ from

30

$30$ .

\frac{23}{4}

$\frac{23}{4}$

\frac{23}{4}

$\frac{23}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

\frac{23}{4}

$\frac{23}{4}$

Decimal Form:

5.75

$5.75$

Mixed Number Form:

5 \frac{3}{4}

$5 \frac{3}{4}$