Compare 10/35 and 84/90
10/35 is smaller than 84/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 90 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 35 × 18 = 630,
10/35 = 10 × 18/35 × 18 = 180/630 - Likewise, for the 2nd fraction, since 90 × 7 = 630,
84/90 = 84 × 7/90 × 7 = 588/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/630 < 588/630 or 10/35 < 84/90
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