Compare 2/45 and 7/48
2/45 is smaller than 7/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 48 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 45 × 16 = 720,
2/45 = 2 × 16/45 × 16 = 32/720 - Likewise, for the 2nd fraction, since 48 × 15 = 720,
7/48 = 7 × 15/48 × 15 = 105/720 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/720 < 105/720 or 2/45 < 7/48
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