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\frac{225}{210}+\frac{224}{210}
Least common multiple of 14 and 15 is 210. Convert \frac{15}{14} and \frac{16}{15} to fractions with denominator 210.
\frac{225+224}{210}
Since \frac{225}{210} and \frac{224}{210} have the same denominator, add them by adding their numerators.
\frac{449}{210}
Add 225 and 224 to get 449.