Compare 3/70 and 35/48
3/70 is smaller than 35/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 48 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 70 × 24 = 1680,
3/70 = 3 × 24/70 × 24 = 72/1680 - Likewise, for the 2nd fraction, since 48 × 35 = 1680,
35/48 = 35 × 35/48 × 35 = 1225/1680 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/1680 < 1225/1680 or 3/70 < 35/48
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