Compare 3/5 and 4/7
Compare these two fractions to find which is greater, lesser, or if they are equal.
Answer:
\frac{3}{5} > \frac{4}{7}
Step-by-Step Solution
Step 1
Identify the Fractions
We need to compare two fractions:
First fraction: 3/5
Second fraction: 4/7
We'll use the cross-multiplication method.
\frac{3}{5} \quad \text{vs} \quad \frac{4}{7}
Step 2
Cross Multiply
Multiply each numerator by the opposite denominator:
3 × 7 = 21 (left side)
4 × 5 = 20 (right side)
The larger product tells us which fraction is larger.
3 \times 7 = 21 \quad \text{and} \quad 4 \times 5 = 20
Step 3
Compare the Products
21 is greater than 20
Since the left product is larger, the left fraction is larger.
\frac{3}{5} > \frac{4}{7}
Step 4
Verify with Decimals
We can verify by converting to decimals:
3/5 = 0.6
4/7 = 0.571429
0.6 is greater than 0.571429 ✓
0.6 > 0.571429