Compare 6/35 and 24/30
6/35 is smaller than 24/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 35 × 6 = 210,
6/35 = 6 × 6/35 × 6 = 36/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
24/30 = 24 × 7/30 × 7 = 168/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/210 < 168/210 or 6/35 < 24/30
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