Compare 45/96 and 48/49
45/96 is smaller than 48/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 49 is 4704
Next, find the equivalent fraction of both fractional numbers with denominator 4704 - For the 1st fraction, since 96 × 49 = 4704,
45/96 = 45 × 49/96 × 49 = 2205/4704 - Likewise, for the 2nd fraction, since 49 × 96 = 4704,
48/49 = 48 × 96/49 × 96 = 4608/4704 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2205/4704 < 4608/4704 or 45/96 < 48/49
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