What is 5/6 × 3/4?
Calculate 5/6 × 3/4 with a complete step-by-step solution. Learn how to multiply fractions and understand the process.
Answer:
5/6 × 3/4 = \frac{5}{8}
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{5}{6} \times \frac{3}{4} = ?
Step 2
Multiply the Numerators
Multiply all the top numbers (numerators) together:
5 × 3 = 15
\text{Numerator: } 5 \times 3 = 15
Step 3
Multiply the Denominators
Multiply all the bottom numbers (denominators) together:
6 × 4 = 24
\text{Denominator: } 6 \times 4 = 24
Step 4
Write the Unsimplified Result
Putting the products together:
\frac{5}{6} \times \frac{3}{4} = \frac{15}{24}
Step 5
Simplify the Fraction
Find the GCF of 15 and 24: GCF = 3
Divide both numerator and denominator by 3
\frac{15}{24} = \frac{15 \div 3}{24 \div 3} = \frac{5}{8}
Step 6
Final Answer
The result is 5/8
As a decimal: 0.625
\frac{5}{6} \times \frac{3}{4} = \frac{5}{8}