Compare 4/15 and 24/42
4/15 is smaller than 24/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 15 × 14 = 210,
4/15 = 4 × 14/15 × 14 = 56/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
24/42 = 24 × 5/42 × 5 = 120/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/210 < 120/210 or 4/15 < 24/42
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