Add 10/75 and 48/32, Solve 10/75 + 1 16/32 as a fraction

Add 10/75 and 48/32

1^st number: 10/75, 2^nd number: 1 16/32

10/75 + 48/32 is 49/30.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 32 is 2400

Next, find the equivalent fraction of both fractional numbers with denominator 2400
For the 1st fraction, since 75 × 32 = 2400,
10/75 = 10 × 32/75 × 32 = 320/2400
Likewise, for the 2nd fraction, since 32 × 75 = 2400,
48/32 = 48 × 75/32 × 75 = 3600/2400
Add the two like fractions:
320/2400 + 3600/2400 = 320 + 3600/2400 = 3920/2400
3920/2400 simplified gives 49/30
So, 10/75 + 48/32 = 49/30
In mixed form: 119/30

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