Compare 30/40 and 49/75
30/40 is greater than 49/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 40 × 15 = 600,
30/40 = 30 × 15/40 × 15 = 450/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
49/75 = 49 × 8/75 × 8 = 392/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 450/600 > 392/600 or 30/40 > 49/75
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