Compare 75/70 and 40/30
1st number: 1 5/70, 2nd number: 1 10/30
75/70 is smaller than 40/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 70 × 3 = 210,
75/70 = 75 × 3/70 × 3 = 225/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
40/30 = 40 × 7/30 × 7 = 280/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/210 < 280/210 or 75/70 < 40/30
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