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\frac{4}{15}\times 10=a
Multiply both sides by 10.
\frac{4\times 10}{15}=a
Express \frac{4}{15}\times 10 as a single fraction.
\frac{40}{15}=a
Multiply 4 and 10 to get 40.
\frac{8}{3}=a
Reduce the fraction \frac{40}{15} to lowest terms by extracting and canceling out 5.
a=\frac{8}{3}
Swap sides so that all variable terms are on the left hand side.