Compare 30/7 and 75/8
1st number: 4 2/7, 2nd number: 9 3/8
30/7 is smaller than 75/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 8 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 7 × 8 = 56,
30/7 = 30 × 8/7 × 8 = 240/56 - Likewise, for the 2nd fraction, since 8 × 7 = 56,
75/8 = 75 × 7/8 × 7 = 525/56 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/56 < 525/56 or 30/7 < 75/8
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