Add 40/60 and 32/75
40/60 + 32/75 is 82/75.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 60 × 5 = 300,
40/60 = 40 × 5/60 × 5 = 200/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
32/75 = 32 × 4/75 × 4 = 128/300 - Add the two like fractions:
200/300 + 128/300 = 200 + 128/300 = 328/300 - 328/300 simplified gives 82/75
- So, 40/60 + 32/75 = 82/75
In mixed form: 17/75
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