Compare 49/30 and 45/16
1st number: 1 19/30, 2nd number: 2 13/16
49/30 is smaller than 45/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 16 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 30 × 8 = 240,
49/30 = 49 × 8/30 × 8 = 392/240 - Likewise, for the 2nd fraction, since 16 × 15 = 240,
45/16 = 45 × 15/16 × 15 = 675/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 392/240 < 675/240 or 49/30 < 45/16
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