Compare 10/80 and 75/30
1st number: 10/80, 2nd number: 2 15/30
10/80 is smaller than 75/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 30 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 80 × 3 = 240,
10/80 = 10 × 3/80 × 3 = 30/240 - Likewise, for the 2nd fraction, since 30 × 8 = 240,
75/30 = 75 × 8/30 × 8 = 600/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/240 < 600/240 or 10/80 < 75/30
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