Compare 42/98 and 40/48
42/98 is smaller than 40/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 48 is 2352
Next, find the equivalent fraction of both fractional numbers with denominator 2352 - For the 1st fraction, since 98 × 24 = 2352,
42/98 = 42 × 24/98 × 24 = 1008/2352 - Likewise, for the 2nd fraction, since 48 × 49 = 2352,
40/48 = 40 × 49/48 × 49 = 1960/2352 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1008/2352 < 1960/2352 or 42/98 < 40/48
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