Chapter 1: Q 194. (page 53)

Use the Order of Operations to Simplify Fractions.
$\frac{8 \cdot 9 - 7 \cdot 6}{5 \cdot 6 - 9 \cdot 2}$

Short Answer

Expert verified

The value of the given fraction is $\frac{5}{2}$ .

Step by step solution

Step 1. Given information

Consider the fraction.

$\frac{8 \cdot 9 - 7 \cdot 6}{5 \cdot 6 - 9 \cdot 2}$

Step 2. Simplify the numerator by applying the order of operations.

$\begin{array}{rcl} \frac{8 \cdot 9 - 7 \cdot 6}{5 \cdot 6 - 9 \cdot 2} & = & \frac{72 - 42}{5 \cdot 6 - 9 \cdot 2} \\ = & \frac{30}{5 \cdot 6 - 9 \cdot 2} \end{array}$

Step 3. Simplify the denominator by applying the order of operations.

$\begin{array}{rcl} \frac{8 \cdot 9 - 7 \cdot 6}{5 \cdot 6 - 9 \cdot 2} & = & \frac{30}{30 - 18} \\ = & \frac{30}{12} \end{array}$

Step 4. Divide the numerator by the denominator and simplify.

$\begin{array}{rcl} \frac{8 \cdot 9 - 7 \cdot 6}{5 \cdot 6 - 9 \cdot 2} & = & \frac{6 \cdot 5}{6 \cdot 2} \\ = & \frac{5}{2} \end{array}$

Hence,the value is $\frac{5}{2}$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Use the Order of Operations to Simplify Fractions.
$\frac{8 \cdot 9 - 7 \cdot 6}{5 \cdot 6 - 9 \cdot 2}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify the numerator by applying the order of operations.

Step 3. Simplify the denominator by applying the order of operations.

Step 4. Divide the numerator by the denominator and simplify.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Probability and Statistics

Logic and Functions

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

Use the Order of Operations to Simplify Fractions.8·9-7·65·6-9·2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify the numerator by applying the order of operations.

Step 3. Simplify the denominator by applying the order of operations.

Step 4. Divide the numerator by the denominator and simplify.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Probability and Statistics

Logic and Functions

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

Use the Order of Operations to Simplify Fractions.
$\frac{8 \cdot 9 - 7 \cdot 6}{5 \cdot 6 - 9 \cdot 2}$