Compare 30/7 and 75/9
1st number: 4 2/7, 2nd number: 8 3/9
30/7 is smaller than 75/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 9 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 7 × 9 = 63,
30/7 = 30 × 9/7 × 9 = 270/63 - Likewise, for the 2nd fraction, since 9 × 7 = 63,
75/9 = 75 × 7/9 × 7 = 525/63 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/63 < 525/63 or 30/7 < 75/9
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