Compare 8/70 and 72/98
8/70 is smaller than 72/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 98 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 70 × 7 = 490,
8/70 = 8 × 7/70 × 7 = 56/490 - Likewise, for the 2nd fraction, since 98 × 5 = 490,
72/98 = 72 × 5/98 × 5 = 360/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/490 < 360/490 or 8/70 < 72/98
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