Compare 40/56 and 36/50
40/56 is smaller than 36/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 50 is 1400
Next, find the equivalent fraction of both fractional numbers with denominator 1400 - For the 1st fraction, since 56 × 25 = 1400,
40/56 = 40 × 25/56 × 25 = 1000/1400 - Likewise, for the 2nd fraction, since 50 × 28 = 1400,
36/50 = 36 × 28/50 × 28 = 1008/1400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1000/1400 < 1008/1400 or 40/56 < 36/50
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