Compare 25/30 and 40/21
1st number: 25/30, 2nd number: 1 19/21
25/30 is smaller than 40/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 21 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
25/30 = 25 × 7/30 × 7 = 175/210 - Likewise, for the 2nd fraction, since 21 × 10 = 210,
40/21 = 40 × 10/21 × 10 = 400/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 175/210 < 400/210 or 25/30 < 40/21
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