Compare 6/30 and 24/7
1st number: 6/30, 2nd number: 3 3/7
6/30 is smaller than 24/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 7 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
6/30 = 6 × 7/30 × 7 = 42/210 - Likewise, for the 2nd fraction, since 7 × 30 = 210,
24/7 = 24 × 30/7 × 30 = 720/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/210 < 720/210 or 6/30 < 24/7
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