Add 45/84 and 80/35, Solve 45/84 + 2 10/35 as a fraction

Add 45/84 and 80/35

1^st number: 45/84, 2^nd number: 2 10/35

45/84 + 80/35 is 79/28.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 35 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 84 × 5 = 420,
45/84 = 45 × 5/84 × 5 = 225/420
Likewise, for the 2nd fraction, since 35 × 12 = 420,
80/35 = 80 × 12/35 × 12 = 960/420
Add the two like fractions:
225/420 + 960/420 = 225 + 960/420 = 1185/420
1185/420 simplified gives 79/28
So, 45/84 + 80/35 = 79/28
In mixed form: 223/28

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