Compare 3/32 and 24/70
3/32 is smaller than 24/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 70 is 1120
Next, find the equivalent fraction of both fractional numbers with denominator 1120 - For the 1st fraction, since 32 × 35 = 1120,
3/32 = 3 × 35/32 × 35 = 105/1120 - Likewise, for the 2nd fraction, since 70 × 16 = 1120,
24/70 = 24 × 16/70 × 16 = 384/1120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/1120 < 384/1120 or 3/32 < 24/70
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