Compare 10/7 and 70/40
1st number: 1 3/7, 2nd number: 1 30/40
10/7 is smaller than 70/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 7 × 40 = 280,
10/7 = 10 × 40/7 × 40 = 400/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
70/40 = 70 × 7/40 × 7 = 490/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 400/280 < 490/280 or 10/7 < 70/40
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