Compare 10/98 and 75/42
1st number: 10/98, 2nd number: 1 33/42
10/98 is smaller than 75/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 42 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 98 × 3 = 294,
10/98 = 10 × 3/98 × 3 = 30/294 - Likewise, for the 2nd fraction, since 42 × 7 = 294,
75/42 = 75 × 7/42 × 7 = 525/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/294 < 525/294 or 10/98 < 75/42
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