Units and Fractions

Conversions and Units

Converting and Calculating Units of Length

Converting and Calculating Units of Mass

Calculating Money

Converting Time and Calculating Time

Fractions

Introduction to Fractions

Equivalent Fractions

Comparing Fractions

Adding and Subtracting Fractions

Multiplying Fractions

Dividing Fractions

Calculating Fractions and Decimals

Ratios, Percentages, Proportions

Introduction to Ratios

Fractions and Percentages

How to Find Percentage of a Number

Interest and Interest Rate Calculation

Simple Interest and Compound Interest

Directly Proportional and Inversely Proportional

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Equivalent Fractions

Units and Fractions Equivalent Fractions

Courses Overview

🎬 Video Tutorial

(0:01) What Are Equivalent Fractions: Different forms of the fractions that hold the same value. To create equivalent fractions, we can either expand or simplify the fraction.
(1:00) How to Expand Fractions or Simplify Fractions: Multiplying or dividing both the numerator and denominator by the same non-zero number. This makes it easier to compare or calculate fractions.
(2:36) Fully Simplified Fractions: Identify common factors and divide repeatedly until the numerator and denominator share no common factors other than 1.

📂 Revision Cards

Expanding fractions example showing 1/2 multiplied by 8 to get 8/16 with visual representation of equivalent fractions 1/2, 2/4, 4/8, and 8/16. — 1) Expanding Fractions

Illustration shows simplifying fractions with examples of 8/16 simplified to 1/2 and equivalent fractions 1/2, 2/4, 4/8, and 8/16 using shaded boxes. — 2) Simplifying Fractions

Expanding fractions by multiplying and simplifying fractions by dividing using the example of 12/20 and 72/120. — 3) Expanding and Simplifying Fractions Example

Fully simplified fractions example, showing the fraction 480/1260 simplified to 8/21 by dividing both numerator and denominator by common factors. — 4) Fully Simplified Fractions

🍪 Quiz Time - Practice Now!

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Equivalent Fractions

1 / 6

Q: Simplify the fraction $\frac{15}{20}$. What is the result?

$\frac{3}{4}$

$\frac{2}{5}$

$\frac{1}{2}$

$\frac{4}{5}$

Feedback: Not quite! Dividing the numerator and denominator by their greatest common divisor 5, gives 15 ÷ 5 = 3 and 20 ÷ 5 = 4, resulting in 3/4.

Feedback: Well done! Dividing the numerator and denominator by their greatest common divisor 5, gives 15 ÷ 5 = 3 and 20 ÷ 5 = 4, resulting in 3/4.

2 / 6

Q: Simplify the fraction $\frac{18}{27}$. What is the result?

$\frac{1}{2}$

$\frac{3}{4}$

$\frac{2}{3}$

$\frac{4}{5}$

Feedback: Not quite! Dividing the numerator and denominator by their greatest common divisor 9, gives 18 ÷ 9 = 2 and 27 ÷ 9 = 3, resulting in 2/3.

Feedback: Well done! Dividing the numerator and denominator by their greatest common divisor 9, gives 18 ÷ 9 = 2 and 27 ÷ 9 = 3, resulting in 2/3.

3 / 6

Q: Which fraction represents a fully simplified form?

$\frac{9}{12}$

$\frac{5}{7}$

$\frac{6}{10}$

$\frac{4}{8}$

Feedback: Not quite! 5/7 is the only fraction that is already in its simplest form because 5 and 7 have no common divisors other than 1.

Feedback: Well done! 5/7 is the only fraction that is already in its simplest form because 5 and 7 have no common divisors other than 1.

4 / 6

Q: If you expand $\frac{7}{9}$ by a factor of 6, what is the resulting fraction?

$\frac{43}{54}$

$\frac{42}{54}$

$\frac{40}{52}$

$\frac{36}{48}$

Feedback: Not quite! 7/9 multiplied by 6 will give you 7 × 6 = 42 and 9 × 6 = 54, so the resulting fraction is 42/54.

Feedback: Well done! 7/9 multiplied by 6 will give you 7 × 6 = 42 and 9 × 6 = 54, so the resulting fraction is 42/54.

5 / 6

Q: Fully simplify the fraction 105/150. What is the result?

$\frac{3}{4}$

$\frac{7}{10}$

$\frac{5}{7}$

$\frac{7}{9}$

Feedback: Not quite! To simplify 105/150, find the greatest common divisor (GCD) of 105 and 150, which is 15. Divide both the numerator and denominator by 15: (105 ÷ 15) / (150 ÷ 15) = 7/10. So, the fully simplified fraction is 7/10.

Feedback: Well done! To simplify 105/150, find the greatest common divisor (GCD) of 105 and 150, which is 15. Divide both the numerator and denominator by 15: (105 ÷ 15) / (150 ÷ 15) = 7/10. So, the fully simplified fraction is 7/10.

6 / 6

Q: A fraction was expanded by a factor of 8 to become 96/144. What was the fraction in its simplest form?

$\frac{5}{6}$

$\frac{2}{3}$

$\frac{4}{5}$

$\frac{12}{18}$

Feedback: Not quite! To find the original fraction before expansion, divide 96/144 by 8, giving (96 ÷ 8) / (144 ÷ 8) = 12/18. Now, simplify 12/18 by dividing both numerator and denominator by 6, resulting in 2/3, which is the simplest form.

Feedback: Well done! To find the original fraction before expansion, divide 96/144 by 8, giving (96 ÷ 8) / (144 ÷ 8) = 12/18. Now, simplify 12/18 by dividing both numerator and denominator by 6, resulting in 2/3, which is the simplest form.

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