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\frac{16}{9}\times 22=x
Multiply both sides by 22.
\frac{16\times 22}{9}=x
Express \frac{16}{9}\times 22 as a single fraction.
\frac{352}{9}=x
Multiply 16 and 22 to get 352.
x=\frac{352}{9}
Swap sides so that all variable terms are on the left hand side.