Compare 75/7 and 30/90
1st number: 10 5/7, 2nd number: 30/90
75/7 is greater than 30/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 90 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 7 × 90 = 630,
75/7 = 75 × 90/7 × 90 = 6750/630 - Likewise, for the 2nd fraction, since 90 × 7 = 630,
30/90 = 30 × 7/90 × 7 = 210/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6750/630 > 210/630 or 75/7 > 30/90
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