Compare 30/80 and 10/45
30/80 is greater than 10/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 45 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 80 × 9 = 720,
30/80 = 30 × 9/80 × 9 = 270/720 - Likewise, for the 2nd fraction, since 45 × 16 = 720,
10/45 = 10 × 16/45 × 16 = 160/720 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/720 > 160/720 or 30/80 > 10/45
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