Problem 4

$$ 12 \div \frac{1}{3} $$

Short Answer

Expert verified

The short answer is: To evaluate $12 \div \frac{1}{3}$, first change the division to multiplication by using the reciprocal of $\frac{1}{3}$, which is $\frac{3}{1}$ or 3. Then, multiply $12 \times \frac{3}{1}$ to get $\frac{36}{1}$, which simplifies to 36. Therefore, $12 \div \frac{1}{3} = 36$.

See the step by step solution

Step by step solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Write down the given expression

Write down the expression that we need to evaluate: \[12 \div \frac{1}{3}\]

Step 2: Change the division operation to multiplication

To divide by a fraction, we can multiply by its reciprocal. The reciprocal of a fraction is obtained by flipping the numerator and the denominator. In this case, the reciprocal of $\frac{1}{3}$ is $\frac{3}{1}$ or simply 3. So we change the given expression to: \[12 \times \frac{3}{1}\]

Step 3: Multiply the whole number by the fraction

Now multiply the whole number by the fraction: \[12 \times \frac{3}{1} = \frac{12 \times 3}{1}\]

Step 4: Perform the multiplication

Multiply the numerators and denominators: \[\frac{12 \times 3}{1} = \frac{36}{1}\]

Step 5: Simplify the result

Since dividing by 1 doesn't change the value of a number, we can express the result as a whole number: \[\frac{36}{1} = 36\] So, $12 \div \frac{1}{3} = 36$.

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Find Study Materials for

Create Study Materials

Select your language

Chapter 2: Chapter 2

$$ 12 \div \frac{1}{3} $$

Short Answer

Step by step solution

Unlock all solutions

Step 1: Write down the given expression

Step 2: Change the division operation to multiplication

Step 3: Multiply the whole number by the fraction

Step 4: Perform the multiplication

Step 5: Simplify the result

Access millions of textbook solutions in one place

Most popular questions from this chapter

More chapters from the book ‘Spectrum Critical Thinking for Math, Grade 6’

Chapter 1

Chapter 3

Chapter 4

Chapter 5

Chapter 7

Join over 22 million students in learning with our Vaia App

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Pure Maths

Geometry

Statistics

Mechanics Maths