Compare 3/70 and 40/9
1st number: 3/70, 2nd number: 4 4/9
3/70 is smaller than 40/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 9 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 70 × 9 = 630,
3/70 = 3 × 9/70 × 9 = 27/630 - Likewise, for the 2nd fraction, since 9 × 70 = 630,
40/9 = 40 × 70/9 × 70 = 2800/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/630 < 2800/630 or 3/70 < 40/9
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