Compare 6/40 and 30/36
6/40 is smaller than 30/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 36 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
6/40 = 6 × 9/40 × 9 = 54/360 - Likewise, for the 2nd fraction, since 36 × 10 = 360,
30/36 = 30 × 10/36 × 10 = 300/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/360 < 300/360 or 6/40 < 30/36
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