Compare 4/24 and 30/42
4/24 is smaller than 30/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 42 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 24 × 7 = 168,
4/24 = 4 × 7/24 × 7 = 28/168 - Likewise, for the 2nd fraction, since 42 × 4 = 168,
30/42 = 30 × 4/42 × 4 = 120/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/168 < 120/168 or 4/24 < 30/42
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