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

Add 75/6 and 9/40

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

75/6 + 9/40 is 509/40.

Find the least common denominator or LCM of the two denominators:
LCM of 6 and 40 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 6 × 20 = 120,
75/6 = 75 × 20/6 × 20 = 1500/120
Likewise, for the 2nd fraction, since 40 × 3 = 120,
9/40 = 9 × 3/40 × 3 = 27/120
Add the two like fractions:
1500/120 + 27/120 = 1500 + 27/120 = 1527/120
1527/120 simplified gives 509/40
So, 75/6 + 9/40 = 509/40
In mixed form: 1229/40

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