Compare 7/45 and 30/80
7/45 is smaller than 30/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 80 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 45 × 16 = 720,
7/45 = 7 × 16/45 × 16 = 112/720 - Likewise, for the 2nd fraction, since 80 × 9 = 720,
30/80 = 30 × 9/80 × 9 = 270/720 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/720 < 270/720 or 7/45 < 30/80
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