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$\frac{a}{7}=5$

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Powers with fractional bases

Full solution

Q.

\frac{a}{7}=5

Given Equation: We are given the equation $(a)/(7)=5$ . To find the value of $'a'$ , we need to isolate $'a'$ on one side of the equation. We can do this by multiplying both sides of the equation by $7$ .
Isolate 'a': Multiply both sides of the equation by $7$ . $\newline$ $(\frac{a}{7}) \times 7 = 5 \times 7$ $\newline$ This simplifies to: $\newline$ $a = 35$
Multiply by $7$ : Check the solution by substituting $a$ back into the original equation. $\frac{35}{7} = 5$ $5 = 5$ This shows that our solution is correct.

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