Compare 10/45 and 9/30
10/45 is smaller than 9/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 30 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 45 × 2 = 90,
10/45 = 10 × 2/45 × 2 = 20/90 - Likewise, for the 2nd fraction, since 30 × 3 = 90,
9/30 = 9 × 3/30 × 3 = 27/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/90 < 27/90 or 10/45 < 9/30
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