Compare 7/20 and 30/45
7/20 is smaller than 30/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 20 × 9 = 180,
7/20 = 7 × 9/20 × 9 = 63/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
30/45 = 30 × 4/45 × 4 = 120/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/180 < 120/180 or 7/20 < 30/45
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