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Chapter 1: Problem 135

What is the Fundamental Principle of Fractions?

Short Answer

Expert verified
The Fundamental Principle of Fractions states that if the same nonzero number is multiplied or divided into both the numerator and the denominator of a fraction, the value of the fraction will not change. For example, \( \frac{3}{4} = \frac{6}{8} \) when both the numerator and the denominator are multiplied by 2.

Step by step solution

01

Introduction to the Fundamental Principle of Fractions

The 'Fundamental Principle of Fractions' (FPF), also known as the 'Fundamental Theorem of Fractions', is a foundational concept in maths that defines something key about fractions. It's important to understand this principle when working with fractions.
02

Define the Fundamental Principle of Fractions

The Fundamental Principle of Fractions states that if the same nonzero number is multiplied or divided into both the numerator and the denominator of a fraction, the value of the fraction does not change.
03

Illustrate with an example

For example, consider the fraction \( \frac{3}{4} \). Multiplying both the numerator and denominator by 2 results in \( \frac{6}{8} \). Despite the numbers being different, both these fractions have the same value or represent the same quantity. So, the Fundamental Principle of Fractions is maintained.

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