Add 45/16 and 9/49, Solve 2 13/16 + 9/49 as a fraction

Add 45/16 and 9/49

1^st number: 2 13/16, 2^nd number: 9/49

45/16 + 9/49 is 2349/784.

Find the least common denominator or LCM of the two denominators:
LCM of 16 and 49 is 784

Next, find the equivalent fraction of both fractional numbers with denominator 784
For the 1st fraction, since 16 × 49 = 784,
45/16 = 45 × 49/16 × 49 = 2205/784
Likewise, for the 2nd fraction, since 49 × 16 = 784,
9/49 = 9 × 16/49 × 16 = 144/784
Add the two like fractions:
2205/784 + 144/784 = 2205 + 144/784 = 2349/784
So, 45/16 + 9/49 = 2349/784
In mixed form: 2781/784

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