Compare 40/10 and 75/30
1st number: 4 0/10, 2nd number: 2 15/30
40/10 is greater than 75/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 30 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 10 × 3 = 30,
40/10 = 40 × 3/10 × 3 = 120/30 - Likewise, for the 2nd fraction, since 30 × 1 = 30,
75/30 = 75 × 1/30 × 1 = 75/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/30 > 75/30 or 40/10 > 75/30
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