Compare 50/45 and 30/10
1st number: 1 5/45, 2nd number: 3 0/10
50/45 is smaller than 30/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 10 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 45 × 2 = 90,
50/45 = 50 × 2/45 × 2 = 100/90 - Likewise, for the 2nd fraction, since 10 × 9 = 90,
30/10 = 30 × 9/10 × 9 = 270/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/90 < 270/90 or 50/45 < 30/10
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