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\frac{5}{7}\times 40=0.69x
Multiply both sides of the equation by 100.
\frac{5\times 40}{7}=0.69x
Express \frac{5}{7}\times 40 as a single fraction.
\frac{200}{7}=0.69x
Multiply 5 and 40 to get 200.
0.69x=\frac{200}{7}
Swap sides so that all variable terms are on the left hand side.
x=\frac{\frac{200}{7}}{0.69}
Divide both sides by 0.69.
x=\frac{200}{7\times 0.69}
Express \frac{\frac{200}{7}}{0.69} as a single fraction.
x=\frac{200}{4.83}
Multiply 7 and 0.69 to get 4.83.
x=\frac{20000}{483}
Expand \frac{200}{4.83} by multiplying both numerator and the denominator by 100.