Compare 1/9 and 40/70
1/9 is smaller than 40/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 70 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 9 × 70 = 630,
1/9 = 1 × 70/9 × 70 = 70/630 - Likewise, for the 2nd fraction, since 70 × 9 = 630,
40/70 = 40 × 9/70 × 9 = 360/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/630 < 360/630 or 1/9 < 40/70
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