Add 10/9 and 36/8, Solve 1 1/9 + 4 4/8 as a fraction

Add 10/9 and 36/8

1^st number: 1 1/9, 2^nd number: 4 4/8

10/9 + 36/8 is 101/18.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 8 is 72

Next, find the equivalent fraction of both fractional numbers with denominator 72
For the 1st fraction, since 9 × 8 = 72,
10/9 = 10 × 8/9 × 8 = 80/72
Likewise, for the 2nd fraction, since 8 × 9 = 72,
36/8 = 36 × 9/8 × 9 = 324/72
Add the two like fractions:
80/72 + 324/72 = 80 + 324/72 = 404/72
404/72 simplified gives 101/18
So, 10/9 + 36/8 = 101/18
In mixed form: 511/18

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