How to Compare Fractions Fast and Easy Short Trick for Comparing Fractions | MathoGuide

How to Compare Fractions Fast and Easy Short Trick for Comparing Fractions

One quick trick for comparing fractions is to cross-multiply. Multiply the numerator of the first fraction by the denominator of the second fraction, and vice versa. The larger product indicates the larger fraction.

When comparing fractions, you can use the cross-multiplication method to determine which fraction is larger.

1. **Cross-multiplication:**
- For fractions A/B and C/D, cross-multiply by multiplying A by D and B by C.
- If AD is greater than BC, then A/B is greater than C/D.
- If AD is less than BC, then C/D is greater than A/B.
- If AD = BC, then the fractions are equal.

2. **Example:**
- Compare 3/4 and 5/6.
- Cross-multiply: 3 * 6 vs. 4 * 5.
- Compare 18 vs. 20. Since 20 is greater, 5/6 is larger than 3/4.

This method simplifies the comparison process, especially when dealing with larger fractions.

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