Add 75/12 and 9/40, Solve 6 3/12 + 9/40 as a fraction

Add 75/12 and 9/40

1^st number: 6 3/12, 2^nd number: 9/40

75/12 + 9/40 is 259/40.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 40 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 12 × 10 = 120,
75/12 = 75 × 10/12 × 10 = 750/120
Likewise, for the 2nd fraction, since 40 × 3 = 120,
9/40 = 9 × 3/40 × 3 = 27/120
Add the two like fractions:
750/120 + 27/120 = 750 + 27/120 = 777/120
777/120 simplified gives 259/40
So, 75/12 + 9/40 = 259/40
In mixed form: 619/40

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