Compare 8/24 and 40/49
8/24 is smaller than 40/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 49 is 1176
Next, find the equivalent fraction of both fractional numbers with denominator 1176 - For the 1st fraction, since 24 × 49 = 1176,
8/24 = 8 × 49/24 × 49 = 392/1176 - Likewise, for the 2nd fraction, since 49 × 24 = 1176,
40/49 = 40 × 24/49 × 24 = 960/1176 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 392/1176 < 960/1176 or 8/24 < 40/49
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