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

Add 10/9 and 4/10

1^st number: 1 1/9, 2^nd number: 4/10

10/9 + 4/10 is 68/45.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 10 is 90

Next, find the equivalent fraction of both fractional numbers with denominator 90
For the 1st fraction, since 9 × 10 = 90,
10/9 = 10 × 10/9 × 10 = 100/90
Likewise, for the 2nd fraction, since 10 × 9 = 90,
4/10 = 4 × 9/10 × 9 = 36/90
Add the two like fractions:
100/90 + 36/90 = 100 + 36/90 = 136/90
136/90 simplified gives 68/45
So, 10/9 + 4/10 = 68/45
In mixed form: 123/45

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