What is 1/2 ÷ 1/2?

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

Answer: 1/2 ÷ 1/2 = 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{1}{2} \div \frac{1}{2} = ?

Step 2 Apply Keep, Change, Flip

Keep: \frac{1}{2}

Change: ÷ becomes ×

Flip: \frac{1}{2} becomes \frac{2}{1}

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

Step 3 Multiply the Fractions

Multiply numerators: 1 × 2 = 2

Multiply denominators: 2 × 1 = 2

\frac{1}{2} \times \frac{2}{1} = \frac{1 \times 2}{2 \times 1} = \frac{2}{2}

Step 4 Simplify the Result

Find the GCF of 2 and 2: GCF = 2

Divide both by 2

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

Step 5 Final Answer

The result is 1

As a decimal: 1

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