Add 40/75 and 24/27
40/75 + 24/27 is 64/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 27 is 675
Next, find the equivalent fraction of both fractional numbers with denominator 675 - For the 1st fraction, since 75 × 9 = 675,
40/75 = 40 × 9/75 × 9 = 360/675 - Likewise, for the 2nd fraction, since 27 × 25 = 675,
24/27 = 24 × 25/27 × 25 = 600/675 - Add the two like fractions:
360/675 + 600/675 = 360 + 600/675 = 960/675 - 960/675 simplified gives 64/45
- So, 40/75 + 24/27 = 64/45
In mixed form: 119/45
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