Compare 40/36 and 9/30
1st number: 1 4/36, 2nd number: 9/30
40/36 is greater than 9/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 30 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 36 × 5 = 180,
40/36 = 40 × 5/36 × 5 = 200/180 - Likewise, for the 2nd fraction, since 30 × 6 = 180,
9/30 = 9 × 6/30 × 6 = 54/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/180 > 54/180 or 40/36 > 9/30
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