Compare 9/12 and 45/48
9/12 is smaller than 45/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 48 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 12 × 4 = 48,
9/12 = 9 × 4/12 × 4 = 36/48 - Likewise, for the 2nd fraction, since 48 × 1 = 48,
45/48 = 45 × 1/48 × 1 = 45/48 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/48 < 45/48 or 9/12 < 45/48
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