Compare 40/70 and 20/9
1st number: 40/70, 2nd number: 2 2/9
40/70 is smaller than 20/9
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,
40/70 = 40 × 9/70 × 9 = 360/630 - Likewise, for the 2nd fraction, since 9 × 70 = 630,
20/9 = 20 × 70/9 × 70 = 1400/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/630 < 1400/630 or 40/70 < 20/9
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