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Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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# Solving Equations Involving Fractions 

In this exercise, we will practice solving equations with fractions. Each equation involves solving for the unknown variable, with some requiring rounding to the nearest tenth.

### Problem Set

**Problem 3:** 

\[ \frac{2 \frac{1}{5}}{5} = \frac{w}{7 \frac{3}{4}} \]

**Problem 6:**

\[ \frac{P}{7 \frac{4}{5}} = \frac{3 \frac{1}{8}}{5 \frac{1}{4}} \]

**Problem 9:**

\[ \frac{1.2}{7 \frac{5}{8}} = \frac{3 \frac{4}{5}}{a} \]

**Problem 12:**

\[ \frac{0.45}{8.13} = \frac{x}{32.7} \]

The value of \( x \) is calculated and given as \( x = 2 \).

### Additional Problem

**Word Problem:**

A shopper bought 6 apples for $1.98. How much would 20 apples cost?

\[ \text{Cost of 20 apples:} \ \boxed{6.60} \]

The answer is given through the proportion calculation which translates to a total cost of $6.60 for 20 apples.

---

**Note:** In these exercises, you will need to use algebraic methods to solve each equation, ensuring to convert mixed numbers and improper fractions as necessary. You may also need to simplify fractions and solve for the unknown variable.
Transcribed Image Text:# Solving Equations Involving Fractions In this exercise, we will practice solving equations with fractions. Each equation involves solving for the unknown variable, with some requiring rounding to the nearest tenth. ### Problem Set **Problem 3:** \[ \frac{2 \frac{1}{5}}{5} = \frac{w}{7 \frac{3}{4}} \] **Problem 6:** \[ \frac{P}{7 \frac{4}{5}} = \frac{3 \frac{1}{8}}{5 \frac{1}{4}} \] **Problem 9:** \[ \frac{1.2}{7 \frac{5}{8}} = \frac{3 \frac{4}{5}}{a} \] **Problem 12:** \[ \frac{0.45}{8.13} = \frac{x}{32.7} \] The value of \( x \) is calculated and given as \( x = 2 \). ### Additional Problem **Word Problem:** A shopper bought 6 apples for $1.98. How much would 20 apples cost? \[ \text{Cost of 20 apples:} \ \boxed{6.60} \] The answer is given through the proportion calculation which translates to a total cost of $6.60 for 20 apples. --- **Note:** In these exercises, you will need to use algebraic methods to solve each equation, ensuring to convert mixed numbers and improper fractions as necessary. You may also need to simplify fractions and solve for the unknown variable.
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