Compare 3/70 and 3/36
3/70 is smaller than 3/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 36 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 70 × 18 = 1260,
3/70 = 3 × 18/70 × 18 = 54/1260 - Likewise, for the 2nd fraction, since 36 × 35 = 1260,
3/36 = 3 × 35/36 × 35 = 105/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/1260 < 105/1260 or 3/70 < 3/36
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