Add 40/90 and 96/75, Solve 40/90 + 1 21/75 as a fraction

Add 40/90 and 96/75

1^st number: 40/90, 2^nd number: 1 21/75

40/90 + 96/75 is 388/225.

Find the least common denominator or LCM of the two denominators:
LCM of 90 and 75 is 450

Next, find the equivalent fraction of both fractional numbers with denominator 450
For the 1st fraction, since 90 × 5 = 450,
40/90 = 40 × 5/90 × 5 = 200/450
Likewise, for the 2nd fraction, since 75 × 6 = 450,
96/75 = 96 × 6/75 × 6 = 576/450
Add the two like fractions:
200/450 + 576/450 = 200 + 576/450 = 776/450
776/450 simplified gives 388/225
So, 40/90 + 96/75 = 388/225
In mixed form: 1163/225

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