Compare 10/75 and 4/10
10/75 is smaller than 4/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 10 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 75 × 2 = 150,
10/75 = 10 × 2/75 × 2 = 20/150 - Likewise, for the 2nd fraction, since 10 × 15 = 150,
4/10 = 4 × 15/10 × 15 = 60/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/150 < 60/150 or 10/75 < 4/10
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