Basic Math Examples

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

Step 1

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

Tap for more steps...

Step 1.1

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

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

Step 1.2

Add $1$ and $\frac{3}{4}$ .

Tap for more steps...

Step 1.2.1

Write $1$ as a fraction with a common denominator.

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

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add $4$ and $3$ .

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

Step 2

Find the common denominator.

Tap for more steps...

Step 2.1

Write $2$ as a fraction with denominator $1$ .

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

Step 2.2

Multiply $\frac{2}{1}$ by $\frac{4}{4}$ .

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

Step 2.3

Multiply $\frac{2}{1}$ by $\frac{4}{4}$ .

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

Step 2.4

Write $1$ as a fraction with denominator $1$ .

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

Step 2.5

Multiply $\frac{1}{1}$ by $\frac{4}{4}$ .

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

Step 2.6

Multiply $\frac{1}{1}$ by $\frac{4}{4}$ .

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

Step 2.7

Multiply $\frac{1}{2}$ by $\frac{2}{2}$ .

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

Step 2.8

Multiply $\frac{1}{2}$ by $\frac{2}{2}$ .

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

Step 2.9

Multiply $2$ by $2$ .

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

Step 3

Combine the numerators over the common denominator.

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

Step 4

Simplify the expression.

Tap for more steps...

Step 4.1

Multiply $2$ by $4$ .

$\frac{8 + 4 + 2 - 7}{4}$

Step 4.2

Add $8$ and $4$ .

$\frac{12 + 2 - 7}{4}$

Step 4.3

Add $12$ and $2$ .

$\frac{14 - 7}{4}$

Step 4.4

Subtract $7$ from $14$ .

$\frac{7}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{4}$

Decimal Form:

$1.75$

Mixed Number Form:

$1 \frac{3}{4}$