Add 14/4 and 49/9
1st number: 3 2/4, 2nd number: 5 4/9
14/4 + 49/9 is 161/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 4 × 9 = 36,
14/4 = 14 × 9/4 × 9 = 126/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
49/9 = 49 × 4/9 × 4 = 196/36 - Add the two like fractions:
126/36 + 196/36 = 126 + 196/36 = 322/36 - 322/36 simplified gives 161/18
- So, 14/4 + 49/9 = 161/18
In mixed form: 817/18
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