Question

36/n = 9/25 find the value of n​

Answer 1

Answer:

n = 100.

Step-by-step explanation:

$\frac{36}{n} = \frac{9}{25} \\ \\ n = \frac{36 \times 25}{9} \\ \\ n = 25 \times 4 \\ \\ n = 100.$

Answer 2

Answer:

n=100

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

$\frac{36}{n} =\frac{9}{25} \\n*\frac{36}{n} =n*\frac{9}{25}$

Cancel multiplied terms that are in the denominator

$n*\frac{36}{n} =n*\frac{9}{25} \\36=n*\frac{9}{25}$

Re-order terms so constants are on the left

$36=n*\frac{9}{25} \\36=\frac{9}{25} n$

Combine multiplied terms into a single fraction

$36=\frac{9}{25} n\\\\36=\frac{9n}{25}$

Multiply all terms by the same value to eliminate fraction denominators

$36=\frac{9n}{25} \\\\25*36=25*\frac{9n}{25}$

Cancel multiplied terms that are in the denominator

$25*36=25*\frac{9n}{25} \\\\25*36=9n$

Multiply the numbers

$25*36=9n\\\\900=9n$

Divide both sides of the equation by the same term

$900=9n\\\\\frac{900}{9} =\frac{9n}{9}$

Simplify

Divide the numbers

$\frac{900}{9} =\frac{9n}{9} \\\\100=\frac{9n}{9}$

Cancel terms that are in both the numerator and denominator

$100=\frac{9n}{9} \\\\100=n$

Move the variable to the left

$100=n\\\\n=100$