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Chapter 5: Problem 247

Simplify. \(\frac{3}{4}(12.4-4.2)\)

Short Answer

Expert verified
\frac{3}{4}(12.4-4.2) = 6.15

Step by step solution

01

Understand the problem

Given the expression \(\frac{3}{4}(12.4-4.2)\). We need to simplify it by following mathematical operations.
02

Subtract inside the parentheses

Calculate the difference inside the parentheses \(12.4 - 4.2\): \12.4 - 4.2 = 8.2.
03

Multiply by the fraction

Multiply the result by \(\frac{3}{4}\): \frac{3}{4} \times 8.2\. To do this, multiply the numerator by 8.2 and then divide by the denominator. \3 \times 8.2 = 24.6\. Now, \24.6 \div 4 = 6.15.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Basic Arithmetic
Basic arithmetic includes the fundamental operations of addition, subtraction, multiplication, and division. In this exercise, we perform both subtraction and multiplication. Remember to follow the order of operations, often abbreviated as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). This ensures the calculations are made in the correct sequence.

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