Compare 4/7 and 49/30
1st number: 4/7, 2nd number: 1 19/30
4/7 is smaller than 49/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 7 × 30 = 210,
4/7 = 4 × 30/7 × 30 = 120/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
49/30 = 49 × 7/30 × 7 = 343/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/210 < 343/210 or 4/7 < 49/30
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