Units and Fractions

Conversions and Units

Converting and Calculating Units of Length

Converting and Calculating Units of Mass

Calculating Money

Converting and Calculating Time

Fractions

Introduction to Fractions

Equivalent Fractions

Comparing Fractions

Adding and Subtracting Fractions

Multiplying Fractions

Dividing Fractions

Ratios, Percentages, Proportions

Fractions and Ratios

Fractions and Percentages

Percentage Calculation

Interest and Interest Rate Calculation

Simple Interest and Compound Interest

Direct and Inverse Proportion

Previous Lesson

{results_count} Math videos for {phrase}

Displaying {results_count} results of {results_count_total}

Generic filters

Exact matches only

Search in title

Search in content

Search in excerpt

Filter by Lesson Categories

Dividing Fractions

Units and Fractions Dividing Fractions

🎬 Video Tutorial

(0:01) Dividing Fractions: Change the division sign to multiplication and flip the second fraction (use its reciprocal). Then, multiply and simplify.
(0:34) Dividing by a Whole Number: Treat the whole number as a fraction over 1. For example, dividing by 6 is the same as multiplying by $\large \frac{1}{6} $.
(1:32) Dividing Mixed Fractions: Convert mixed fractions to improper fractions first to avoid common math mistakes, then proceed with division as usual.

Membership Required

You must be a member of Math Angel Plus or Math Angel Unlimited to view this content.

Already a member? Log in here

📂 Revision Cards

Step-by-step guide on dividing fractions, showing how to change division to multiplication, invert the second fraction, and multiply to simplify. — 1) Division with Fractions

Example of dividing a fraction by a whole number with steps showing the reciprocal and cross-cancelling method. — 2) Dividing Fractions by a Whole Number

Handling mixed fractions example, showing steps to convert and divide 2 2/5 by 2/5 using improper fractions and the cross-cancelling method. — 3) Handling Mixed Fractions

🍪 Quiz

0%

Dividing Fractions

1 / 6

Q: What is $\frac{2}{5} \div \frac{2}{7}$?

$\frac{10}{7}$

$\frac{7}{2}$

$\frac{14}{10}$

$\frac{7}{5}$

Feedback: Not quite! Replace the division sign with multiplication and flip $\frac{2}{7}$ to $\frac{7}{2}$. Cross-cancel the $2$s, the answer is $\frac{7}{5}$.

Feedback: Well done! Replace the division sign with multiplication and flip $\frac{2}{7}$ to $\frac{7}{2}$. Cross-cancel the $2$s, the answer is $\frac{7}{5}$.

2 / 6

Q: What is $\frac{5}{8} \div \frac{1}{4}$?

$\frac{5}{32}$

$\frac{20}{8}$

$\frac{8}{5}$

$\frac{5}{2}$

Feedback: Not quite! Replace the division sign with multiplication and flip $\frac{1}{4}$ to $\frac{4}{1}$. Cross-cancel $4$ and $8$ to get $1$ and $2$. Multiply $5 \times 1$ and $2 \times 1$ to get $\frac{5}{2}$.

Feedback: Well done! Replace the division sign with multiplication and flip $\frac{1}{4}$ to $\frac{4}{1}$. Cross-cancel $4$ and $8$ to get $1$ and $2$. Multiply $5 \times 1$ and $2 \times 1$ to get $\frac{5}{2}$.

3 / 6

Q: What is $3 \div \frac{4}{7}$?

$\frac{7}{12}$

$\frac{28}{3}$

$\frac{21}{4}$

$\frac{3}{4}$

Feedback: Not quite! Flip $\frac{4}{7}$ to $\frac{7}{4}$. Multiply $3 \times 7$ and divided by $4$ to get $\frac{21}{4}$.

Feedback: Well done! Flip $\frac{4}{7}$ to $\frac{7}{4}$. Multiply $3 \times 7$ and divided by $4$ to get $\frac{21}{4}$.

4 / 6

Q: What is $\frac{3}{4} \div \frac{2}{3}$ ?

$\frac{8}{9}$

$\frac{6}{12}$

$\frac{9}{8}$

$\frac{4}{3}$

Feedback: Not quite! Replace the division sign with multiplication and flip $\frac{2}{3}$ to $\frac{3}{2}$. Multiply: $3 \times 3 = 9$ and $4 \times 2 = 8$, giving $\frac{9}{8}$.

Feedback: Well done! Replace the division sign with multiplication and flip $\frac{2}{3}$ to $\frac{3}{2}$. Multiply: $3 \times 3 = 9$ and $4 \times 2 = 8$, giving $\frac{9}{8}$.

5 / 6

Q: What is $\frac{7}{10} \div \frac{2}{5}$?

$\frac{35}{50}$

$\frac{5}{7}$

$\frac{35}{20}$

$\frac{7}{4}$

Feedback: Not quite! Replace the division sign with multiplication and flip $\frac{2}{5}$ to $\frac{5}{2}$. Cross-cancel $10$ and $5$ to get $2$ and $1$. Multiply $7 \times 1$ and $2 \times 2$ to get $\frac{7}{4}$.

Feedback: Well done! Replace the division sign with multiplication and flip $\frac{2}{5}$ to $\frac{5}{2}$. Cross-cancel $10$ and $5$ to get $2$ and $1$. Multiply $7 \times 1$ and $2 \times 2$ to get $\frac{7}{4}$.

6 / 6

Q: What is $1 \frac{3}{4} \div \frac{5}{6}$?

$\frac{21}{10}$

$\frac{42}{15}$

$\frac{2}{1}$

$\frac{30}{5}$

Feedback: Not quite! Convert $1 \frac{3}{4}$ to $\frac{7}{4}$ and flip $\frac{5}{6}$ to $\frac{6}{5}$. Multiply $7 \times 6$ and $4 \times 5$ to get $\frac{42}{20}$, then simplify to $\frac{21}{10}$.

Feedback: Well done! Convert $1 \frac{3}{4}$ to $\frac{7}{4}$ and flip $\frac{5}{6}$ to $\frac{6}{5}$. Multiply $7 \times 6$ and $4 \times 5$ to get $\frac{42}{20}$, then simplify to $\frac{21}{10}$.

Your score is

The average score is 0%

0%

ChatCat (AI Math Solver)

Ask your math question at bottom right ⤵️

Courses Overview

Previous Lesson

Related

Log In

Username or Email Address

Password

Remember Me

Join Now | Lost Password?

Login

Accessing this course requires a login. Please enter your credentials below!

Username or Email Address

Password

Remember Me

Lost Your Password?

Register

Don't have an account? Register one!

Register an Account