Add 35/42 and 96/40, Solve 35/42 + 2 16/40 as a fraction

Add 35/42 and 96/40

1^st number: 35/42, 2^nd number: 2 16/40

35/42 + 96/40 is 97/30.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840

Next, find the equivalent fraction of both fractional numbers with denominator 840
For the 1st fraction, since 42 × 20 = 840,
35/42 = 35 × 20/42 × 20 = 700/840
Likewise, for the 2nd fraction, since 40 × 21 = 840,
96/40 = 96 × 21/40 × 21 = 2016/840
Add the two like fractions:
700/840 + 2016/840 = 700 + 2016/840 = 2716/840
2716/840 simplified gives 97/30
So, 35/42 + 96/40 = 97/30
In mixed form: 37/30

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