how would i solve this? ### Educational Website: Mathematics Section#### Example Problem: Subtracting Fractions**Problem Statement:**Subtract the fractions and show all work:\[ \frac{1}{2} - \frac{3}{4} = \]**Solution Steps:**1. **Identify the Lowest Common Denominator (LCD):** - First, list the multiples of each denominator to find the LCD. Multiples of 2: $ 2, 4, 6, 8, 10, 12, 16 $ Multiples of 4: $ 4, 8, 12, 16 $ - The smallest common multiple between the denominators 2 and 4 is 4. Therefore, 4 is the LCD.2. **Adjust Fractions to Have the Same Denominator:** - Convert $\frac{1}{2}$ to a fraction with denominator 4: \[ \frac{1}{2} = \frac{2}{4} \] - $\frac{3}{4}$ already has the denominator 4, so it remains the same: \[ \frac{3}{4} \]3. **Subtract the Fractions:** - Now perform the subtraction with like denominators: \[ \frac{2}{4} - \frac{3}{4} = \frac{2 - 3}{4} = \frac{-1}{4} \] Thus, the result is: \[ \frac{1}{2} - \frac{3}{4} = -\frac{1}{4} \]#### Work Shown:- Multiples of 2: `2, 4, 6, 8, 10, 12, 16`- Multiples of 4: `4, 8, 12, 16`- Calculation: $\frac{2}{4} - \frac{3}{4} = \frac{-1}{4} $This detailed breakdown illustrates the process of subtracting fractions by finding a common denominator, converting both fractions, and then performing the subtraction operation.

The given expression is the rational expression, hence simplification helps to find the required…

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Algebra

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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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Question

how would i solve this?

### Educational Website: Mathematics Section

#### Example Problem: Subtracting Fractions

**Problem Statement:**
Subtract the fractions and show all work:

\[ \frac{1}{2} - \frac{3}{4} = \]

**Solution Steps:**

1. **Identify the Lowest Common Denominator (LCD):**
- First, list the multiples of each denominator to find the LCD.

Multiples of 2: $ 2, 4, 6, 8, 10, 12, 16 $

Multiples of 4: $ 4, 8, 12, 16 $

- The smallest common multiple between the denominators 2 and 4 is 4. Therefore, 4 is the LCD.

2. **Adjust Fractions to Have the Same Denominator:**
- Convert $\frac{1}{2}$ to a fraction with denominator 4:
\[ \frac{1}{2} = \frac{2}{4} \]

- $\frac{3}{4}$ already has the denominator 4, so it remains the same:
\[ \frac{3}{4} \]

3. **Subtract the Fractions:**
- Now perform the subtraction with like denominators:
\[ \frac{2}{4} - \frac{3}{4} = \frac{2 - 3}{4} = \frac{-1}{4} \]

Thus, the result is:
\[ \frac{1}{2} - \frac{3}{4} = -\frac{1}{4} \]

#### Work Shown:

- Multiples of 2: `2, 4, 6, 8, 10, 12, 16`
- Multiples of 4: `4, 8, 12, 16`
- Calculation: $\frac{2}{4} - \frac{3}{4} = \frac{-1}{4} $

This detailed breakdown illustrates the process of subtracting fractions by finding a common denominator, converting both fractions, and then performing the subtraction operation.

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