What is 2/3 ÷ 2/3?

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

Answer: 2/3 ÷ 2/3 = 1

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

Step 2 Apply Keep, Change, Flip

Keep: \frac{2}{3}

Change: ÷ becomes ×

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

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

Step 3 Multiply the Fractions

Multiply numerators: 2 × 3 = 6

Multiply denominators: 3 × 2 = 6

\frac{2}{3} \times \frac{3}{2} = \frac{2 \times 3}{3 \times 2} = \frac{6}{6}

Step 4 Simplify the Result

Find the GCF of 6 and 6: GCF = 6

Divide both by 6

\frac{6}{6} = \frac{6 \div 6}{6 \div 6} = \frac{1}{1}

Step 5 Final Answer

The result is 1

As a decimal: 1

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