Compare 42/10 and 81/75
1st number: 4 2/10, 2nd number: 1 6/75
42/10 is greater than 81/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 75 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 10 × 15 = 150,
42/10 = 42 × 15/10 × 15 = 630/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
81/75 = 81 × 2/75 × 2 = 162/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 630/150 > 162/150 or 42/10 > 81/75
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