Compare 7/45 and 12/36
7/45 is smaller than 12/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 36 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
7/45 = 7 × 4/45 × 4 = 28/180 - Likewise, for the 2nd fraction, since 36 × 5 = 180,
12/36 = 12 × 5/36 × 5 = 60/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/180 < 60/180 or 7/45 < 12/36
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