Attempt [tex]$1 / 1$[/tex]

Find the value of [tex]$\square$[/tex] in the equation:

[tex]\[
\frac{1}{7} = \frac{\square}{35}
\][/tex]



Answer :

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]