Add 40/75 and 27/4, Solve 40/75 + 6 3/4 as a fraction

Add 40/75 and 27/4

1^st number: 40/75, 2^nd number: 6 3/4

40/75 + 27/4 is 437/60.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 4 is 300

Next, find the equivalent fraction of both fractional numbers with denominator 300
For the 1st fraction, since 75 × 4 = 300,
40/75 = 40 × 4/75 × 4 = 160/300
Likewise, for the 2nd fraction, since 4 × 75 = 300,
27/4 = 27 × 75/4 × 75 = 2025/300
Add the two like fractions:
160/300 + 2025/300 = 160 + 2025/300 = 2185/300
2185/300 simplified gives 437/60
So, 40/75 + 27/4 = 437/60
In mixed form: 717/60

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