Compare 5/6 and 7/8
Compare these two fractions to find which is greater, lesser, or if they are equal.
Answer:
\frac{5}{6} < \frac{7}{8}
Step-by-Step Solution
Step 1
Identify the Fractions
We need to compare two fractions:
First fraction: 5/6
Second fraction: 7/8
We'll use the cross-multiplication method.
\frac{5}{6} \quad \text{vs} \quad \frac{7}{8}
Step 2
Cross Multiply
Multiply each numerator by the opposite denominator:
5 × 8 = 40 (left side)
7 × 6 = 42 (right side)
The larger product tells us which fraction is larger.
5 \times 8 = 40 \quad \text{and} \quad 7 \times 6 = 42
Step 3
Compare the Products
40 is less than 42
Since the right product is larger, the right fraction is larger.
\frac{5}{6} < \frac{7}{8}
Step 4
Verify with Decimals
We can verify by converting to decimals:
5/6 = 0.833333
7/8 = 0.875
0.833333 is less than 0.875 ✓
0.833333 < 0.875