Add 40/75 and 27/35
40/75 + 27/35 is 137/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 35 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
40/75 = 40 × 7/75 × 7 = 280/525 - Likewise, for the 2nd fraction, since 35 × 15 = 525,
27/35 = 27 × 15/35 × 15 = 405/525 - Add the two like fractions:
280/525 + 405/525 = 280 + 405/525 = 685/525 - 685/525 simplified gives 137/105
- So, 40/75 + 27/35 = 137/105
In mixed form: 132/105
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