Compare 30/75 and 2/5
30/75 is equivalent to 2/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 5 is 75
Next, find the equivalent fraction of both fractional numbers with denominator 75 - For the 1st fraction, since 75 × 1 = 75,
30/75 = 30 × 1/75 × 1 = 30/75 - Likewise, for the 2nd fraction, since 5 × 15 = 75,
2/5 = 2 × 15/5 × 15 = 30/75 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/75 = 30/75 or 30/75 = 2/5
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