Compare 40/49 and 30/24
1st number: 40/49, 2nd number: 1 6/24
40/49 is smaller than 30/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 24 is 1176
Next, find the equivalent fraction of both fractional numbers with denominator 1176 - For the 1st fraction, since 49 × 24 = 1176,
40/49 = 40 × 24/49 × 24 = 960/1176 - Likewise, for the 2nd fraction, since 24 × 49 = 1176,
30/24 = 30 × 49/24 × 49 = 1470/1176 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 960/1176 < 1470/1176 or 40/49 < 30/24
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