Compare 4/30 and 7/20
4/30 is smaller than 7/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 20 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 30 × 2 = 60,
4/30 = 4 × 2/30 × 2 = 8/60 - Likewise, for the 2nd fraction, since 20 × 3 = 60,
7/20 = 7 × 3/20 × 3 = 21/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 8/60 < 21/60 or 4/30 < 7/20
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