Compare 45/70 and 9/4
1st number: 45/70, 2nd number: 2 1/4
45/70 is smaller than 9/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 4 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 70 × 2 = 140,
45/70 = 45 × 2/70 × 2 = 90/140 - Likewise, for the 2nd fraction, since 4 × 35 = 140,
9/4 = 9 × 35/4 × 35 = 315/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/140 < 315/140 or 45/70 < 9/4
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