Compare 75/10 and 49/4
1st number: 7 5/10, 2nd number: 12 1/4
75/10 is smaller than 49/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 4 is 20
Next, find the equivalent fraction of both fractional numbers with denominator 20 - For the 1st fraction, since 10 × 2 = 20,
75/10 = 75 × 2/10 × 2 = 150/20 - Likewise, for the 2nd fraction, since 4 × 5 = 20,
49/4 = 49 × 5/4 × 5 = 245/20 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/20 < 245/20 or 75/10 < 49/4
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