What is 4/5 × 1/2?
Calculate 4/5 × 1/2 with a complete step-by-step solution. Learn how to multiply fractions and understand the process.
Answer:
4/5 × 1/2 = \frac{2}{5}
Step-by-Step Solution
Step 1
Identify the Fractions
We need to multiply the fractions together.
When multiplying fractions, we multiply the numerators together and the denominators together.
Unlike addition, we don't need a common denominator!
\frac{4}{5} \times \frac{1}{2} = ?
Step 2
Multiply the Numerators
Multiply all the top numbers (numerators) together:
4 × 1 = 4
\text{Numerator: } 4 \times 1 = 4
Step 3
Multiply the Denominators
Multiply all the bottom numbers (denominators) together:
5 × 2 = 10
\text{Denominator: } 5 \times 2 = 10
Step 4
Write the Unsimplified Result
Putting the products together:
\frac{4}{5} \times \frac{1}{2} = \frac{4}{10}
Step 5
Simplify the Fraction
Find the GCF of 4 and 10: GCF = 2
Divide both numerator and denominator by 2
\frac{4}{10} = \frac{4 \div 2}{10 \div 2} = \frac{2}{5}
Step 6
Final Answer
The result is 2/5
As a decimal: 0.4
\frac{4}{5} \times \frac{1}{2} = \frac{2}{5}