Compare 3/10 and 45/36
1st number: 3/10, 2nd number: 1 9/36
3/10 is smaller than 45/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 36 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 10 × 18 = 180,
3/10 = 3 × 18/10 × 18 = 54/180 - Likewise, for the 2nd fraction, since 36 × 5 = 180,
45/36 = 45 × 5/36 × 5 = 225/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/180 < 225/180 or 3/10 < 45/36
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