Compare 40/70 and 10/3
1st number: 40/70, 2nd number: 3 1/3
40/70 is smaller than 10/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 3 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 70 × 3 = 210,
40/70 = 40 × 3/70 × 3 = 120/210 - Likewise, for the 2nd fraction, since 3 × 70 = 210,
10/3 = 10 × 70/3 × 70 = 700/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/210 < 700/210 or 40/70 < 10/3
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