Compare 45/75 and 9/10
45/75 is smaller than 9/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 10 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 75 × 2 = 150,
45/75 = 45 × 2/75 × 2 = 90/150 - Likewise, for the 2nd fraction, since 10 × 15 = 150,
9/10 = 9 × 15/10 × 15 = 135/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/150 < 135/150 or 45/75 < 9/10
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