Compare 30/8 and 50/7
1st number: 3 6/8, 2nd number: 7 1/7
30/8 is smaller than 50/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 7 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 8 × 7 = 56,
30/8 = 30 × 7/8 × 7 = 210/56 - Likewise, for the 2nd fraction, since 7 × 8 = 56,
50/7 = 50 × 8/7 × 8 = 400/56 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/56 < 400/56 or 30/8 < 50/7
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