Add 10/75 and 45/28, Solve 10/75 + 1 17/28 as a fraction

Add 10/75 and 45/28

1^st number: 10/75, 2^nd number: 1 17/28

10/75 + 45/28 is 731/420.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 28 is 2100

Next, find the equivalent fraction of both fractional numbers with denominator 2100
For the 1st fraction, since 75 × 28 = 2100,
10/75 = 10 × 28/75 × 28 = 280/2100
Likewise, for the 2nd fraction, since 28 × 75 = 2100,
45/28 = 45 × 75/28 × 75 = 3375/2100
Add the two like fractions:
280/2100 + 3375/2100 = 280 + 3375/2100 = 3655/2100
3655/2100 simplified gives 731/420
So, 10/75 + 45/28 = 731/420
In mixed form: 1311/420

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