Compare 8/70 and 5/36
8/70 is smaller than 5/36
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,
8/70 = 8 × 18/70 × 18 = 144/1260 - Likewise, for the 2nd fraction, since 36 × 35 = 1260,
5/36 = 5 × 35/36 × 35 = 175/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/1260 < 175/1260 or 8/70 < 5/36
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