Compare 3/30 and 40/42
3/30 is smaller than 40/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
3/30 = 3 × 7/30 × 7 = 21/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/210 < 200/210 or 3/30 < 40/42
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