Compare 10/18 and 36/40
10/18 is smaller than 36/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 18 × 20 = 360,
10/18 = 10 × 20/18 × 20 = 200/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
36/40 = 36 × 9/40 × 9 = 324/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/360 < 324/360 or 10/18 < 36/40
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