Basic Math Examples

$\frac{1}{4} \div (- 1 \frac{1}{4})$

Step 1

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

Tap for more steps...

Step 1.1

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

$\frac{1}{4} \div (- (1 + \frac{1}{4}))$

Step 1.2

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

Tap for more steps...

Step 1.2.1

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

$\frac{1}{4} \div (- (\frac{4}{4} + \frac{1}{4}))$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{1}{4} \div (- \frac{4 + 1}{4})$

Step 1.2.3

Add $4$ and $1$ .

$\frac{1}{4} \div (- \frac{5}{4})$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{4} (- \frac{4}{5})$

Step 3

Cancel the common factor of $4$ .

Tap for more steps...

Step 3.1

Move the leading negative in $- \frac{4}{5}$ into the numerator.

$\frac{1}{4} \cdot \frac{- 4}{5}$

Step 3.2

Factor $4$ out of $- 4$ .

$\frac{1}{4} \cdot \frac{4 (- 1)}{5}$

Step 3.3

Cancel the common factor.

$\frac{1}{4} \cdot \frac{4 \cdot - 1}{5}$

Step 3.4

Rewrite the expression.

$\frac{- 1}{5}$

Step 4

Move the negative in front of the fraction.

$- \frac{1}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{5}$

Decimal Form:

$- 0.2$