To find the value of [tex]\(\square\)[/tex] in the equation
[tex]\[
\frac{1}{7} = \frac{\square}{35},
\][/tex]
we need to solve for [tex]\(\square\)[/tex] by treating it as an algebraic equation. Here is a step-by-step method for finding the solution.
1. Write down the equation:
[tex]\[
\frac{1}{7} = \frac{\square}{35}
\][/tex]
2. Cross-multiply to isolate [tex]\(\square\)[/tex]. Cross-multiplying means multiplying the numerator of one fraction by the denominator of the other fraction, setting the two products equal:
[tex]\[
1 \times 35 = 7 \times \square
\][/tex]
3. Simplify the multiplication on both sides:
[tex]\[
35 = 7 \times \square
\][/tex]
4. Solve for [tex]\(\square\)[/tex] by dividing both sides of the equation by 7:
[tex]\[
\square = \frac{35}{7}
\][/tex]
5. Perform the division:
[tex]\[
\square = 5
\][/tex]
Thus, the value of [tex]\(\square\)[/tex] is [tex]\(5\)[/tex]. So, the solution to
[tex]\[
\frac{1}{7} = \frac{\square}{35}
\][/tex]
is
[tex]\[
\square = 5.
\][/tex]
