What is 1/8 ÷ 2/3?

Calculate 1/8 ÷ 2/3 with a complete step-by-step solution. Learn how to divide fractions and understand the process.

Answer: 1/8 ÷ 2/3 = \frac{3}{16}

Step-by-Step Solution

Step 1 Identify the Division Problem

To divide fractions, we use the "Keep, Change, Flip" method:

• Keep the first fraction

• Change division to multiplication

• Flip (take the reciprocal of) the second fraction

\frac{1}{8} \div \frac{2}{3} = ?

Step 2 Apply Keep, Change, Flip

Keep: \frac{1}{8}

Change: ÷ becomes ×

Flip: \frac{2}{3} becomes \frac{3}{2}

\frac{1}{8} \div \frac{2}{3} = \frac{1}{8} \times \frac{3}{2}

Step 3 Multiply the Fractions

Multiply numerators: 1 × 3 = 3

Multiply denominators: 8 × 2 = 16

\frac{1}{8} \times \frac{3}{2} = \frac{1 \times 3}{8 \times 2} = \frac{3}{16}

Step 4 Final Answer

The result is 3/16

As a decimal: 0.1875

\frac{1}{8} \div \frac{2}{3} = \frac{3}{16}