Compare 10/70 and 12/32
10/70 is smaller than 12/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 32 is 1120
Next, find the equivalent fraction of both fractional numbers with denominator 1120 - For the 1st fraction, since 70 × 16 = 1120,
10/70 = 10 × 16/70 × 16 = 160/1120 - Likewise, for the 2nd fraction, since 32 × 35 = 1120,
12/32 = 12 × 35/32 × 35 = 420/1120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/1120 < 420/1120 or 10/70 < 12/32
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