Compare 10/30 and 8/36
10/30 is greater than 8/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 36 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 30 × 6 = 180,
10/30 = 10 × 6/30 × 6 = 60/180 - Likewise, for the 2nd fraction, since 36 × 5 = 180,
8/36 = 8 × 5/36 × 5 = 40/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/180 > 40/180 or 10/30 > 8/36
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