Compare 70/75 and 45/16
1st number: 70/75, 2nd number: 2 13/16
70/75 is smaller than 45/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 16 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
70/75 = 70 × 16/75 × 16 = 1120/1200 - Likewise, for the 2nd fraction, since 16 × 75 = 1200,
45/16 = 45 × 75/16 × 75 = 3375/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1120/1200 < 3375/1200 or 70/75 < 45/16
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