Add 96/35 and 80/72, Solve 2 26/35 + 1 8/72 as a fraction

Add 96/35 and 80/72

1^st number: 2 26/35, 2^nd number: 1 8/72

96/35 + 80/72 is 1214/315.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 72 is 2520

Next, find the equivalent fraction of both fractional numbers with denominator 2520
For the 1st fraction, since 35 × 72 = 2520,
96/35 = 96 × 72/35 × 72 = 6912/2520
Likewise, for the 2nd fraction, since 72 × 35 = 2520,
80/72 = 80 × 35/72 × 35 = 2800/2520
Add the two like fractions:
6912/2520 + 2800/2520 = 6912 + 2800/2520 = 9712/2520
9712/2520 simplified gives 1214/315
So, 96/35 + 80/72 = 1214/315
In mixed form: 3269/315

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