Compare 10/70 and 20/96
10/70 is smaller than 20/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 96 is 3360
Next, find the equivalent fraction of both fractional numbers with denominator 3360 - For the 1st fraction, since 70 × 48 = 3360,
10/70 = 10 × 48/70 × 48 = 480/3360 - Likewise, for the 2nd fraction, since 96 × 35 = 3360,
20/96 = 20 × 35/96 × 35 = 700/3360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 480/3360 < 700/3360 or 10/70 < 20/96
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