Compare 75/36 and 30/10
1st number: 2 3/36, 2nd number: 3 0/10
75/36 is smaller than 30/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 10 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 36 × 5 = 180,
75/36 = 75 × 5/36 × 5 = 375/180 - Likewise, for the 2nd fraction, since 10 × 18 = 180,
30/10 = 30 × 18/10 × 18 = 540/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 375/180 < 540/180 or 75/36 < 30/10
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