Compare 21/10 and 40/35
1st number: 2 1/10, 2nd number: 1 5/35
21/10 is greater than 40/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 35 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 10 × 7 = 70,
21/10 = 21 × 7/10 × 7 = 147/70 - Likewise, for the 2nd fraction, since 35 × 2 = 70,
40/35 = 40 × 2/35 × 2 = 80/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/70 > 80/70 or 21/10 > 40/35
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