Compare 5/70 and 10/40
5/70 is smaller than 10/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 70 × 4 = 280,
5/70 = 5 × 4/70 × 4 = 20/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
10/40 = 10 × 7/40 × 7 = 70/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/280 < 70/280 or 5/70 < 10/40
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