Compare 30/9 and 75/10
1st number: 3 3/9, 2nd number: 7 5/10
30/9 is smaller than 75/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 10 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 9 × 10 = 90,
30/9 = 30 × 10/9 × 10 = 300/90 - Likewise, for the 2nd fraction, since 10 × 9 = 90,
75/10 = 75 × 9/10 × 9 = 675/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/90 < 675/90 or 30/9 < 75/10
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