Compare 6/45 and 30/60
6/45 is smaller than 30/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 60 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
6/45 = 6 × 4/45 × 4 = 24/180 - Likewise, for the 2nd fraction, since 60 × 3 = 180,
30/60 = 30 × 3/60 × 3 = 90/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/180 < 90/180 or 6/45 < 30/60
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