Add 49/14 and 27/90, Solve 3 7/14 + 27/90 as a fraction

Add 49/14 and 27/90

1^st number: 3 7/14, 2^nd number: 27/90

49/14 + 27/90 is 19/5.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 90 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 14 × 45 = 630,
49/14 = 49 × 45/14 × 45 = 2205/630
Likewise, for the 2nd fraction, since 90 × 7 = 630,
27/90 = 27 × 7/90 × 7 = 189/630
Add the two like fractions:
2205/630 + 189/630 = 2205 + 189/630 = 2394/630
2394/630 simplified gives 19/5
So, 49/14 + 27/90 = 19/5
In mixed form: 34/5

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