Add 40/75 and 10/4, Solve 40/75 + 2 2/4 as a fraction

Add 40/75 and 10/4

1^st number: 40/75, 2^nd number: 2 2/4

40/75 + 10/4 is 91/30.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 4 is 300

Next, find the equivalent fraction of both fractional numbers with denominator 300
For the 1st fraction, since 75 × 4 = 300,
40/75 = 40 × 4/75 × 4 = 160/300
Likewise, for the 2nd fraction, since 4 × 75 = 300,
10/4 = 10 × 75/4 × 75 = 750/300
Add the two like fractions:
160/300 + 750/300 = 160 + 750/300 = 910/300
910/300 simplified gives 91/30
So, 40/75 + 10/4 = 91/30
In mixed form: 31/30

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