What is 7/8 × 1/2?
Calculate 7/8 × 1/2 with a complete step-by-step solution. Learn how to multiply fractions and understand the process.
Answer:
7/8 × 1/2 = \frac{7}{16}
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{7}{8} \times \frac{1}{2} = ?
Step 2
Multiply the Numerators
Multiply all the top numbers (numerators) together:
7 × 1 = 7
\text{Numerator: } 7 \times 1 = 7
Step 3
Multiply the Denominators
Multiply all the bottom numbers (denominators) together:
8 × 2 = 16
\text{Denominator: } 8 \times 2 = 16
Step 4
Write the Unsimplified Result
Putting the products together:
\frac{7}{8} \times \frac{1}{2} = \frac{7}{16}
Step 5
Check for Simplification
The GCF of 7 and 16 is 1, so the fraction is already in simplest form.
\frac{7}{16} \text{ (already simplified)}
Step 6
Final Answer
The result is 7/16
As a decimal: 0.4375
\frac{7}{8} \times \frac{1}{2} = \frac{7}{16}