Compare 30/56 and 70/75
30/56 is smaller than 70/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 75 is 4200
Next, find the equivalent fraction of both fractional numbers with denominator 4200 - For the 1st fraction, since 56 × 75 = 4200,
30/56 = 30 × 75/56 × 75 = 2250/4200 - Likewise, for the 2nd fraction, since 75 × 56 = 4200,
70/75 = 70 × 56/75 × 56 = 3920/4200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2250/4200 < 3920/4200 or 30/56 < 70/75
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