Units and Fractions

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Converting and Calculating Units of Mass

Calculating Money

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Introduction to Fractions

Equivalent Fractions

Comparing Fractions

Adding and Subtracting Fractions

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Dividing Fractions

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Introduction to Ratios

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Dividing Fractions

Units and Fractions Dividing Fractions

Courses Overview

🎬 Video Tutorial

(0:01) Dividing Fractions Method (3 Steps): 1) Change the division sign to multiplication. 2) Flip the second fraction to get its reciprocal. 3) Finally, multiply the fractions and simplify the result.
(0:34) Dividing Fractions by Whole Numbers: 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 Fractions with Mixed Numbers: The key is to convert mixed numbers to improper fractions to avoid common math mistakes, then proceed with division as usual.

📂 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) Dividing Fractions Method (3 Steps)

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

Example of dividing fractions by mixed numbers: showing steps to convert and divide 2 2/5 by 2/5 using improper fractions and the cross-cancelling method. — 3) Dividing Fraction by a Mixed Number

🍪 Quiz Time - Practice Now!

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Dividing Fractions

1 / 6

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

$\frac{7}{5}$

$\frac{7}{2}$

$\frac{10}{7}$

$\frac{14}{35}$

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 $\frac{5}{8} \div \frac{1}{4}$?

$\frac{5}{32}$

$\frac{12}{8}$

$\frac{8}{5}$

$\frac{5}{2}$

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 $3 \div \frac{4}{7}$?

$\frac{3}{4}$

$\frac{7}{12}$

$\frac{21}{4}$

$\frac{28}{3}$

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 $\frac{3}{4} \div \frac{2}{3}$ ?

$\frac{8}{9}$

$\frac{4}{3}$

$\frac{9}{8}$

$\frac{6}{12}$

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 $\frac{7}{10} \div \frac{2}{5}$?

$\frac{7}{4}$

$\frac{35}{50}$

$\frac{5}{7}$

$\frac{7}{25}$

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 $\frac{21}{10}$.

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