Add 27/50 and 40/48
27/50 + 40/48 is 103/75.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 48 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 50 × 24 = 1200,
27/50 = 27 × 24/50 × 24 = 648/1200 - Likewise, for the 2nd fraction, since 48 × 25 = 1200,
40/48 = 40 × 25/48 × 25 = 1000/1200 - Add the two like fractions:
648/1200 + 1000/1200 = 648 + 1000/1200 = 1648/1200 - 1648/1200 simplified gives 103/75
- So, 27/50 + 40/48 = 103/75
In mixed form: 128/75
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