Problem 5

Next question

$$ \frac{4}{5} \div \frac{3}{10} $$

Short Answer

Expert verified

$\frac{4}{5} \div \frac{3}{10} = \frac{4}{5} \times \frac{10}{3} = \frac{40}{15} = \frac{8}{3}$

See the step by step solution

Step by step solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Reciprocal of the second fraction

The reciprocal of a fraction is found by swapping the numerator and the denominator. So, the reciprocal of $\frac{3}{10}$ is $\frac{10}{3}$.

Step 2: Change division to multiplication

Now, we change the division problem into a multiplication problem. Instead of dividing by the second fraction, we will multiply by its reciprocal: $\frac{4}{5} \div \frac{3}{10} = \frac{4}{5} \times \frac{10}{3}$

Step 3: Multiply numerators and denominators

Next, we multiply the numerators together and the denominators together: $(4 \times 10) \div (5 \times 3)$

Step 4: Perform the multiplication

Now, perform the multiplication: $\frac{40}{15}$

Step 5: Simplify if possible

Finally, let's see if we can simplify the resulting fraction. The greatest common divisor of 40 and 15 is 5. Divide both the numerator and the denominator by 5: $\frac{40 \div 5}{15 \div 5} = \frac{8}{3}$

Step 6: Final answer

So, $\frac{4}{5} \div \frac{3}{10} = \frac{8}{3}$.

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

$$ \frac{4}{5} \div \frac{3}{10} $$

Short Answer

Step by step solution

Unlock all solutions

Step 1: Reciprocal of the second fraction

Step 2: Change division to multiplication

Step 3: Multiply numerators and denominators

Step 4: Perform the multiplication

Step 5: Simplify if possible

Step 6: Final answer

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

Pure Maths

Decision Maths

Geometry

Mechanics Maths

Statistics

Calculus