Chapter 8: 8.141 - Try It (page 985)

Solve the proportion: $\frac{n}{84} = \frac{11}{12} .$

Short Answer

Expert verified

The value of n is 77.

Step by step solution

Step 1. Given Information

We are given with a proportion having only one variable n and we need to solve the proportion for n:

$\frac{n}{84} = \frac{11}{12} .$

Step 2. Calculating the value of n

In order to solve the proportion we need to multiply both sides of the equation with the LCD of denominators i.e., LCD of 84 and 12 is 84. So,

$\frac{n}{84} = \frac{11}{12}, 84 \times (\frac{n}{84}) = 84 \times (\frac{11}{12}), n = 7 \times 11 = 77 . S o, t h e v a l u e o f n i s 77 .$

Step 3. Checking the result

We get the result as 77 now lets check it by putting it in the equation:

$\frac{n}{84} = \frac{11}{12}, \frac{77}{84} = \frac{11}{12}, \frac{11}{12} = \frac{11}{12 .} S o, o u r r e s u l t i s c o r r e c t .$

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Solve the proportion: $\frac{n}{84} = \frac{11}{12} .$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculating the value of n

Step 3. Checking the result

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Solve the proportion:n84=1112.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculating the value of n

Step 3. Checking the result

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Discrete Mathematics

Pure Maths

Applied Mathematics

Decision Maths

Statistics

Study anywhere. Anytime. Across all devices.

Solve the proportion: $\frac{n}{84} = \frac{11}{12} .$