Compare 36/56 and 18/24
36/56 is smaller than 18/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 56 × 3 = 168,
36/56 = 36 × 3/56 × 3 = 108/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
18/24 = 18 × 7/24 × 7 = 126/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/168 < 126/168 or 36/56 < 18/24
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