Add 40/45 and 45/80, Solve 40/45 + 45/80 as a fraction

Add 40/45 and 45/80

40/45 + 45/80 is 209/144.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 80 is 720

Next, find the equivalent fraction of both fractional numbers with denominator 720
For the 1st fraction, since 45 × 16 = 720,
40/45 = 40 × 16/45 × 16 = 640/720
Likewise, for the 2nd fraction, since 80 × 9 = 720,
45/80 = 45 × 9/80 × 9 = 405/720
Add the two like fractions:
640/720 + 405/720 = 640 + 405/720 = 1045/720
1045/720 simplified gives 209/144
So, 40/45 + 45/80 = 209/144
In mixed form: 165/144

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