Compare 30/56 and 6/40
30/56 is greater than 6/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 56 × 5 = 280,
30/56 = 30 × 5/56 × 5 = 150/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
6/40 = 6 × 7/40 × 7 = 42/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/280 > 42/280 or 30/56 > 6/40
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