Divide 1 1/4÷1 2/5

$1 \frac{1}{4} \div 1 \frac{2}{5}$

Step 1

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

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

$(1 + \frac{1}{4}) \div 1 \frac{2}{5}$

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

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

$(\frac{4}{4} + \frac{1}{4}) \div 1 \frac{2}{5}$

Combine the numerators over the common denominator.

$\frac{4 + 1}{4} \div 1 \frac{2}{5}$

Add $4$ and $1$ .

$\frac{5}{4} \div 1 \frac{2}{5}$

Step 2

Convert $1 \frac{2}{5}$ to an improper fraction.

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

$\frac{5}{4} \div (1 + \frac{2}{5})$

Add $1$ and $\frac{2}{5}$ .

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

$\frac{5}{4} \div (\frac{5}{5} + \frac{2}{5})$

Combine the numerators over the common denominator.

$\frac{5}{4} \div \frac{5 + 2}{5}$

Add $5$ and $2$ .

$\frac{5}{4} \div \frac{7}{5}$

Step 3

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{4} \cdot \frac{5}{7}$

Step 4

Multiply $\frac{5}{4} \cdot \frac{5}{7}$ .

Multiply $\frac{5}{4}$ by $\frac{5}{7}$ .

$\frac{5 \cdot 5}{4 \cdot 7}$

Multiply $5$ by $5$ .

$\frac{25}{4 \cdot 7}$

Multiply $4$ by $7$ .

$\frac{25}{28}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{28}$

Decimal Form:

$0.89285714 \dots$