Compare 5/18 and 40/70
5/18 is smaller than 40/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 70 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 18 × 35 = 630,
5/18 = 5 × 35/18 × 35 = 175/630 - 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
- 175/630 < 360/630 or 5/18 < 40/70
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