Compare 49/10 and 75/12
1st number: 4 9/10, 2nd number: 6 3/12
49/10 is smaller than 75/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 12 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 10 × 6 = 60,
49/10 = 49 × 6/10 × 6 = 294/60 - Likewise, for the 2nd fraction, since 12 × 5 = 60,
75/12 = 75 × 5/12 × 5 = 375/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/60 < 375/60 or 49/10 < 75/12
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