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

How to Combine Ratios

Fractions and Percentages

How to Find Percentage of a Number

Interest and Interest Rate Calculation

Simple Interest and Compound Interest

Percentage Increase and Decrease

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Introduction to Fractions

Units and Fractions Introduction to Fractions

Courses Overview

🎬 Video Tutorial

(0:01) Real-Life Fraction Examples: Visualising fractions with examples like pizza slices helps students see how fractions represent portions of a whole.
(0:25) Fraction Definition in Maths: Fractions represent parts of a whole, using a numerator (top number) and a denominator (bottom number) separated by a horizontal bar.
(1:13) Numerator and Denominator Explained: The numerator indicates the number of parts being considered, while the denominator shows the total number of equal parts the whole is divided into.
(1:58) Calculating Fractions of Quantities: To find a fraction of a quantity, divide it by the denominator, then multiply by the numerator (e.g., $\large \frac{3}{4} $ of 20 cm equals 15 cm).

📂 Revision Cards

Explanation of fractions with a pizza divided into eight slices, illustrating one-eighth and three-eighths fractions. — 1) Fractions

Explanation of fractions with numerators and denominators, showing a pizza divided into eight equal parts. — 2) Numerator and Denominator

Understanding fractions with examples, showing 4 out of 9 coloured parts in a circle and an unequally divided rectangle. — 3) Fractions Example 1

Applying fractions to real-world examples, including finding 3/4 of 20 cm using a ruler and 5/6 of 2 hours using a clock. — 4) Fractions Example 2

🍪 Quiz

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Introduction to Fractions

1 / 6

Q: In a fraction, what does the denominator tell us?

How many portions are being considered

The total number of parts

How many equal parts the whole is divided into

Feedback: Not quite! The denominator tells us how many equal parts the whole is divided into.

Feedback: Well done! The denominator tells us how many equal parts the whole is divided into.

2 / 6

Q: A rectangle is divided into 10 equal sections. What fraction of the rectangle is yellow?

$Illustrates a fraction using a bar divided into 10 equal sections, with 7 shaded in yellow, representing the fraction 7/10.$

$\frac{7}{12}$

$\frac{7}{10}$

$\frac{3}{10}$

$\frac{10}{7}$

Feedback: Not quite! There are 7 yellow sections out of 10 equal sections, so the fraction is $\frac{7}{10}$.

Feedback: Well done! There are 7 yellow sections out of 10 equal sections, so the fraction is $\frac{7}{10}$.

3 / 6

Q: A team of 8 students shares 5 pizzas equally. What fraction of a pizza does each student get?

$\frac{1}{5}$

$\frac{8}{5}$

$\frac{5}{8}$

Feedback: Not quite! To share 5 pizzas equally among 8 students, each student gets $\frac{5}{8}$ of a pizza.

Feedback: Well done! To share 5 pizzas equally among 8 students, each student gets $\frac{5}{8}$ of a pizza.

4 / 6

Q: If a cake is divided into 12 equal slices and 7 slices are left, what fraction of the cake has been eaten?

$\frac{7}{12}$

$\frac{12}{7}$

$\frac{5}{12}$

Feedback: Not quite! If 7 out of 12 slices are left, then 5 slices have been eaten. The fraction of the cake that has been eaten is $\frac{5}{12}$.

Feedback: Well done! If 7 out of 12 slices are left, then 5 slices have been eaten. The fraction of the cake that has been eaten is $\frac{5}{12}$.

5 / 6

Q: A pool is filled to 3/4 of its capacity, and it holds 60 liters when full. How much water is currently in the pool?

45 liters

50 liters

30 liters

Feedback: Not quite! If the pool is filled to $\frac{3}{4}$ of its capacity and it holds 60 liters when full, then the amount of water is $\frac{3}{4}$ × 60 = 45 liters.

Feedback: Well done! If the pool is filled to $\frac{3}{4}$ of its capacity and it holds 60 liters when full, then the amount of water is $\frac{3}{4}$ × 60 = 45 liters.

6 / 6

Q: A baker has 3/5 of a bag of flour left, which weighs 15 kilograms. What is the total weight of a full bag of flour?

20 kg

30 kg

25 kg

Feedback: Not quite! If $\frac{3}{5}$ of a bag weighs 15 kg, then the total weight of a full bag is 15 ÷ $\frac{3}{5}$ = 15 × $\frac{5}{3}$ = 25 kg.

Feedback: Well done! If $\frac{3}{5}$ of a bag weighs 15 kg, then the total weight of a full bag is 15 ÷ $\frac{3}{5}$ = 15 × $\frac{5}{3}$ = 25 kg.

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