Add 10/75 and 35/8, Solve 10/75 + 4 3/8 as a fraction

Add 10/75 and 35/8

1^st number: 10/75, 2^nd number: 4 3/8

10/75 + 35/8 is 541/120.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 8 is 600

Next, find the equivalent fraction of both fractional numbers with denominator 600
For the 1st fraction, since 75 × 8 = 600,
10/75 = 10 × 8/75 × 8 = 80/600
Likewise, for the 2nd fraction, since 8 × 75 = 600,
35/8 = 35 × 75/8 × 75 = 2625/600
Add the two like fractions:
80/600 + 2625/600 = 80 + 2625/600 = 2705/600
2705/600 simplified gives 541/120
So, 10/75 + 35/8 = 541/120
In mixed form: 461/120

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