Compare 12/98 and 42/70
12/98 is smaller than 42/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 70 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 98 × 5 = 490,
12/98 = 12 × 5/98 × 5 = 60/490 - Likewise, for the 2nd fraction, since 70 × 7 = 490,
42/70 = 42 × 7/70 × 7 = 294/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/490 < 294/490 or 12/98 < 42/70
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