Add 40/75 and 27/48
40/75 + 27/48 is 263/240.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 48 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
40/75 = 40 × 16/75 × 16 = 640/1200 - Likewise, for the 2nd fraction, since 48 × 25 = 1200,
27/48 = 27 × 25/48 × 25 = 675/1200 - Add the two like fractions:
640/1200 + 675/1200 = 640 + 675/1200 = 1315/1200 - 1315/1200 simplified gives 263/240
- So, 40/75 + 27/48 = 263/240
In mixed form: 123/240
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