The solution of the proportion 813=v21

Question

Mollie Nash · Accepted Answer

Calculation:
In order to solve the given equation

\frac{8}{13} = \frac{v}{21}

for the variable, isolate the variable term v on one side by performing some basic algebraic operations to get rid of the other numbers and terms associated with it.
Here to isolate v on both side, first multiply both sides by 13 and then multiply both sides by 21 and then simplify further we divide both sides by 13 as shown below,

\frac{8}{13} = \frac{v}{21}

\frac{8}{13} \cdot 13 = \frac{v}{21} \cdot 13

8 = \frac{13 v}{21}

8 \cdot 21 = \frac{13 v}{21} \cdot 21

168 = 13 v

\frac{168}{13} = \frac{13 v}{13}

12.92 = v

\Rightarrow v = 12.92

Thus, the solution of the proportion is

v = 12.92

.

Matthew Rodriguez · Accepted Answer

Step 1  813=v21  8×21=13×v  v=8×2113  v=12.923076923077

nick1337 · Accepted Answer

Step 1 813=v21 Multiply both sides by 21. 813×21=v Express 813×21 as a single fraction 8×2113=v Multiply 8 and 21 to get 168. 16813=v Swap sides so that all variable terms are on the left hand side. v=16813

The solution of the proportion \frac{8}{13}=\frac{v}{21}

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