Basic Math Examples

$31 \frac{3}{4} - 11.82$

Step 1

Convert $31 \frac{3}{4}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$31 + \frac{3}{4} - 11.82$

Step 1.2

Add $31$ and $\frac{3}{4}$ .

Tap for more steps...

Step 1.2.1

To write $31$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$31 \cdot \frac{4}{4} + \frac{3}{4} - 11.82$

Step 1.2.2

Combine $31$ and $\frac{4}{4}$ .

$\frac{31 \cdot 4}{4} + \frac{3}{4} - 11.82$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{31 \cdot 4 + 3}{4} - 11.82$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply $31$ by $4$ .

$\frac{124 + 3}{4} - 11.82$

Step 1.2.4.2

Add $124$ and $3$ .

$\frac{127}{4} - 11.82$

Step 2

To write $- 11.82$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{127}{4} - 11.82 \cdot \frac{4}{4}$

Step 3

Combine fractions.

Tap for more steps...

Step 3.1

Combine $- 11.82$ and $\frac{4}{4}$ .

$\frac{127}{4} + \frac{- 11.82 \cdot 4}{4}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{127 - 11.82 \cdot 4}{4}$

Step 4

Simplify the numerator.

Tap for more steps...

Step 4.1

Multiply $- 11.82$ by $4$ .

$\frac{127 - 47.28}{4}$

Step 4.2

Subtract $47.28$ from $127$ .

$\frac{79.72}{4}$

Step 5

Divide $79.72$ by $4$ .

$19.93$