Add 45/4 and 18/49, Solve 11 1/4 + 18/49 as a fraction

Add 45/4 and 18/49

1^st number: 11 1/4, 2^nd number: 18/49

45/4 + 18/49 is 2277/196.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 49 is 196

Next, find the equivalent fraction of both fractional numbers with denominator 196
For the 1st fraction, since 4 × 49 = 196,
45/4 = 45 × 49/4 × 49 = 2205/196
Likewise, for the 2nd fraction, since 49 × 4 = 196,
18/49 = 18 × 4/49 × 4 = 72/196
Add the two like fractions:
2205/196 + 72/196 = 2205 + 72/196 = 2277/196
So, 45/4 + 18/49 = 2277/196
In mixed form: 11121/196

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