Add 21/14 and 27/10, Solve 1 7/14 + 2 7/10 as a fraction

Add 21/14 and 27/10

1^st number: 1 7/14, 2^nd number: 2 7/10

21/14 + 27/10 is 21/5.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 10 is 70

Next, find the equivalent fraction of both fractional numbers with denominator 70
For the 1st fraction, since 14 × 5 = 70,
21/14 = 21 × 5/14 × 5 = 105/70
Likewise, for the 2nd fraction, since 10 × 7 = 70,
27/10 = 27 × 7/10 × 7 = 189/70
Add the two like fractions:
105/70 + 189/70 = 105 + 189/70 = 294/70
294/70 simplified gives 21/5
So, 21/14 + 27/10 = 21/5
In mixed form: 41/5

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