Compare 16/24 and 36/49
16/24 is smaller than 36/49
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,
16/24 = 16 × 49/24 × 49 = 784/1176 - Likewise, for the 2nd fraction, since 49 × 24 = 1176,
36/49 = 36 × 24/49 × 24 = 864/1176 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 784/1176 < 864/1176 or 16/24 < 36/49
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