Compare 4/5 and 5/6
Compare these two fractions to find which is greater, lesser, or if they are equal.
Answer:
\frac{4}{5} < \frac{5}{6}
Step-by-Step Solution
Step 1
Identify the Fractions
We need to compare two fractions:
First fraction: 4/5
Second fraction: 5/6
We'll use the cross-multiplication method.
\frac{4}{5} \quad \text{vs} \quad \frac{5}{6}
Step 2
Cross Multiply
Multiply each numerator by the opposite denominator:
4 × 6 = 24 (left side)
5 × 5 = 25 (right side)
The larger product tells us which fraction is larger.
4 \times 6 = 24 \quad \text{and} \quad 5 \times 5 = 25
Step 3
Compare the Products
24 is less than 25
Since the right product is larger, the right fraction is larger.
\frac{4}{5} < \frac{5}{6}
Step 4
Verify with Decimals
We can verify by converting to decimals:
4/5 = 0.8
5/6 = 0.833333
0.8 is less than 0.833333 ✓
0.8 < 0.833333