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\frac{\frac{4}{7}}{5}=\frac{x}{3}
Divide both sides by 5.
\frac{4}{7\times 5}=\frac{x}{3}
Express \frac{\frac{4}{7}}{5} as a single fraction.
\frac{4}{35}=\frac{x}{3}
Multiply 7 and 5 to get 35.
\frac{4}{35}\times 3=x
Multiply both sides by 3.
\frac{4\times 3}{35}=x
Express \frac{4}{35}\times 3 as a single fraction.
\frac{12}{35}=x
Multiply 4 and 3 to get 12.
x=\frac{12}{35}
Swap sides so that all variable terms are on the left hand side.