Questions: 14/70 = 8/n

Solution Steps

To solve the equation $\frac{14}{70}=\frac{8}{n}$, we can use cross-multiplication to find the value of \( n \). Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction and setting the products equal to each other. Then, solve for \( n \).

We start with the equation given by the problem:

\[ \frac{14}{70} = \frac{8}{n} \]

To eliminate the fractions, we cross-multiply:

\[ 14 \cdot n = 8 \cdot 70 \]

Calculating the right side:

\[ 8 \cdot 70 = 560 \]

Now, we have:

\[ 14n = 560 \]

To isolate \( n \), divide both sides by 14:

\[ n = \frac{560}{14} \]

Calculating this gives:

\[ n = 40.0 \]

Final Answer