Simplify (1 1/4÷(2/3))÷2

$1 \frac{1}{4} \div \frac{2}{3} \div 2$

Step 1

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

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

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

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

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

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

Combine the numerators over the common denominator.

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

Add $4$ and $1$ .

$\frac{5}{4} \div \frac{2}{3} \div 2$

Step 2

Rewrite the division as a fraction.

$\frac{\frac{5}{4} \div \frac{2}{3}}{2}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{5}{4} \div \frac{2}{3} \cdot \frac{1}{2}$

Step 4

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{4} \cdot \frac{3}{2} \frac{1}{2}$

Step 5

Multiply $\frac{5}{4} \cdot \frac{3}{2}$ .

Multiply $\frac{5}{4}$ by $\frac{3}{2}$ .

$\frac{5 \cdot 3}{4 \cdot 2} \cdot \frac{1}{2}$

Multiply $5$ by $3$ .

$\frac{15}{4 \cdot 2} \cdot \frac{1}{2}$

Multiply $4$ by $2$ .

$\frac{15}{8} \cdot \frac{1}{2}$

Step 6

Multiply $\frac{15}{8} \cdot \frac{1}{2}$ .

Multiply $\frac{15}{8}$ by $\frac{1}{2}$ .

$\frac{15}{8 \cdot 2}$

Multiply $8$ by $2$ .

$\frac{15}{16}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{15}{16}$

Decimal Form:

$0.9375$