Compare 9/4 and 70/30
1st number: 2 1/4, 2nd number: 2 10/30
9/4 is smaller than 70/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 30 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 4 × 15 = 60,
9/4 = 9 × 15/4 × 15 = 135/60 - Likewise, for the 2nd fraction, since 30 × 2 = 60,
70/30 = 70 × 2/30 × 2 = 140/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/60 < 140/60 or 9/4 < 70/30
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