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Chapter 2: Problem 61

Simplify. $$ \frac{18}{1} $$

Short Answer

Expert verified
18

Step by step solution

01

Understanding the Fraction

The fraction given is \(\frac{18}{1}\). Any number divided by 1 remains the same as the number itself.
02

Apply the Rule

By applying the rule, we know \(\frac{18}{1} = 18\). This is because dividing any number by 1 yields the number itself.

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Key Concepts

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

Basic Math
Basic math forms the foundation for understanding more complex math concepts. When working with fractions, it's essential to grasp the idea of division, addition, subtraction, and multiplication. In this exercise, you encounter a simple yet fundamental concept of dividing a number by 1. This concept is one of the basic rules in arithmetic operations. It's important to remember that these basic principles help you solve more intricate problems later on. Understanding them thoroughly can significantly boost your confidence in math. Remembering simple facts like any number divided by 1 equals the number itself can make solving problems quicker and easier.
Division
Division is one of the four primary arithmetic operations, alongside addition, subtraction, and multiplication. When you divide, you're essentially splitting a number into equal parts. For our fraction \(\frac{18}{1}\), the division process is straightforward because the denominator is 1. Dividing by 1 means you do not change the value of the numerator. For instance, \(\frac{18}{1} = 18\), which remains 18. It's like saying how many 1's fit into 18, which is clearly 18. Building a strong understanding of division helps with more complex fractions and decimal operations.
Fractions
Fractions represent a part of a whole. They're written as \(\frac{a}{b}\), where 'a' is the numerator (top number) representing parts of the whole, and 'b' is the denominator (bottom number), representing the total number of equal parts. In our example of \(\frac{18}{1}\), the fraction simply means 18 parts of one whole part, which is essentially just 18. Understanding fractions is crucial as they are everywhere in daily life鈥攃ooking, shopping, time management, and much more. Knowing how to work with fractions helps in understanding ratios, proportions, and percentages.
Simplifying Fractions
Simplifying fractions means reducing them to their simplest form. This makes them easier to understand and work with. You simplify a fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In the exercise, \(\frac{18}{1}\) is already in its simplest form because the denominator is 1. No further reduction is necessary. Simplifying fractions can sometimes lead to whole numbers or more manageable fractions. This skill is vital in solving complex mathematical problems efficiently.

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Most popular questions from this chapter

Determine whether 4227 is divisible by \(9 .\)

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List all the factors of each number. $$ 16 $$

Multiply by \(1,2,3,\) and so on, to find ten multiples of each number. $$ 5 $$

List all the factors of each number. $$ 100 $$
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