Compare 3/10 and 75/56
1st number: 3/10, 2nd number: 1 19/56
3/10 is smaller than 75/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 10 × 28 = 280,
3/10 = 3 × 28/10 × 28 = 84/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
75/56 = 75 × 5/56 × 5 = 375/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/280 < 375/280 or 3/10 < 75/56
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