Compare 10/45 and 45/96
10/45 is smaller than 45/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 96 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 45 × 32 = 1440,
10/45 = 10 × 32/45 × 32 = 320/1440 - Likewise, for the 2nd fraction, since 96 × 15 = 1440,
45/96 = 45 × 15/96 × 15 = 675/1440 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/1440 < 675/1440 or 10/45 < 45/96
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