Add 45/18 and 10/7, Solve 2 9/18 + 1 3/7 as a fraction

Add 45/18 and 10/7

1^st number: 2 9/18, 2^nd number: 1 3/7

45/18 + 10/7 is 55/14.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 7 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 18 × 7 = 126,
45/18 = 45 × 7/18 × 7 = 315/126
Likewise, for the 2nd fraction, since 7 × 18 = 126,
10/7 = 10 × 18/7 × 18 = 180/126
Add the two like fractions:
315/126 + 180/126 = 315 + 180/126 = 495/126
495/126 simplified gives 55/14
So, 45/18 + 10/7 = 55/14
In mixed form: 313/14

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