Compare 75/98 and 10/28
75/98 is greater than 10/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 28 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 98 × 2 = 196,
75/98 = 75 × 2/98 × 2 = 150/196 - Likewise, for the 2nd fraction, since 28 × 7 = 196,
10/28 = 10 × 7/28 × 7 = 70/196 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/196 > 70/196 or 75/98 > 10/28
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