To simplify the expression \( \frac{8.4}{-4.8} \), follow these steps:

1. **Simplify the signs**: Since the numerator is positive and the denominator is negative, the result will be negative:
   \[
   \frac{8.4}{-4.8} = -\frac{8.4}{4.8}
   \]

2. **Simplify the fraction**: Divide both the numerator and the denominator by their greatest common divisor (GCD). 

   First, let's divide both 8.4 and 4.8 by 1.2, which is a common divisor:
   \[
   \frac{8.4 \div 1.2}{4.8 \div 1.2} = \frac{7}{4}
   \]

3. **Apply the negative sign**:
   \[
   -\frac{7}{4}
   \]

So, \( \frac{8.4}{-4.8} \) simplifies to \( -\frac{7}{4} \), or in decimal form:
\[
-\frac{7}{4} = -1.75
\]

Would you like more details or have any questions? Here are some related questions:

1. How do you find the greatest common divisor (GCD) of two numbers?
2. What are the rules for simplifying fractions with negative numbers?
3. How do you convert a fraction into a decimal?
4. Why is it important to simplify fractions before converting to decimals?
5. How can fractions represent both positive and negative values?

**Tip:** When simplifying fractions with decimals, it's often easier to work with the decimal equivalents before simplifying.

Learn how to simplify the fraction 8.4 divided by -4.8 with a detailed step-by-step guide. This problem covers key concepts in fractions and negative numbers. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation