Compare 24/45 and 49/16
1st number: 24/45, 2nd number: 3 1/16
24/45 is smaller than 49/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 16 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 45 × 16 = 720,
24/45 = 24 × 16/45 × 16 = 384/720 - Likewise, for the 2nd fraction, since 16 × 45 = 720,
49/16 = 49 × 45/16 × 45 = 2205/720 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 384/720 < 2205/720 or 24/45 < 49/16
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