Year 6 Maths: Fractions Greater Than One

Understanding Fractions Greater Than One

Hello Year 6! Today, we’re going to explore fractions greater than one. Let’s break it down together.

What Are Fractions?

A fraction shows a part of something. It has two numbers:

• The top number is called the numerator. It tells us how many parts we have.
• The bottom number is called the denominator. It tells us how many equal parts something is divided into.

For example, in the fraction $$\frac{3}{4}$$ :

• 3 is the numerator (we have 3 parts).
• 4 is the denominator (the whole is divided into 4 equal parts).

What Are Fractions Greater Than One?

Now, fractions greater than one mean we have more than the whole. This happens when the numerator is larger than the denominator.

For example:

• $$\frac{5}{4}$$ means we have 5 parts out of 4, which is more than one whole.

Visualising Fractions Greater Than One

Imagine a pizza cut into 4 slices:

• If you eat 4 slices, that’s $$\frac{4}{4}$$ , or 1 whole pizza.
• If you eat 5 slices, that’s $$\frac{5}{4}$$ , which means you ate 1 whole pizza and 1 extra slice!

Mixed Numbers

When we have fractions greater than one, we can also express them as mixed numbers. A mixed number has a whole number and a proper fraction.

For example:

• $$\frac{5}{4}$$ can be written as 1 $$\frac{1}{4}$$ . This means 1 whole and 1/4 leftover.

Key Rules

1. Numerator > Denominator: If the top number is bigger than the bottom number, the fraction is greater than one.
2. Converting to Mixed Numbers: Divide the numerator by the denominator. The whole number is the answer, and the remainder is the new numerator. The denominator stays the same.
   • Example: For $$\frac{9}{4}$$ , 9 divided by 4 is 2 with a remainder of 1. So, it becomes 2 $$\frac{1}{4}$$ .

Tips and Tricks

• Visual Models: Draw circles or bars to show how much is whole and how much is extra.
• Practice: Change improper fractions (like $$\frac{7}{3}$$ ) to mixed numbers and vice versa.

Questions Based on Fractions Greater Than One

Easy Level Questions

1. What is the fraction $$\frac{5}{3}$$ in words?
2. Is $$\frac{6}{5}$$ greater than 1?
3. Convert $$\frac{8}{5}$$ to a mixed number.
4. What is $$\frac{4}{4}$$ as a whole number?
5. Write $$\frac{9}{6}$$ as a mixed number.
6. Is $$\frac{10}{8}$$ greater than, less than, or equal to 1?
7. How many wholes are in $$\frac{12}{5}$$ ?
8. Convert $$\frac{15}{8}$$ to a mixed number.
9. What does $$\frac{7}{4}$$ represent in words?
10. If you have $$\frac{11}{10}$$ , how many whole pizzas do you have?

Medium Level Questions

1. Convert $$\frac{14}{3}$$ to a mixed number.
2. How many wholes are in $$\frac{20}{4}$$ ?
3. Is $$\frac{18}{7}$$ greater than 2?
4. Write $$\frac{9}{4}$$ as a mixed number.
5. How do you convert $$\frac{13}{4}$$ to a mixed number?
6. What is the whole number part of $$\frac{22}{5}$$ ?
7. How many slices do you have if you have $$\frac{17}{4}$$ ?
8. Convert $$\frac{19}{6}$$ to a mixed number.
9. Is $$\frac{25}{10}$$ greater than 2?
10. What fraction is greater: $$\frac{13}{5}$$ or $$\frac{9}{3}$$ ?

Hard Level Questions

1. Convert $$\frac{27}{8}$$ to a mixed number.
2. How many wholes are in $$\frac{33}{10}$$ ?
3. Is $$\frac{31}{6}$$ greater than 5?
4. Write $$\frac{30}{7}$$ as a mixed number.
5. Convert $$\frac{45}{12}$$ to a mixed number.
6. What is the whole number part of $$\frac{50}{9}$$ ?
7. If you have $$\frac{58}{7}$$ , how many whole pizzas do you have?
8. Convert $$\frac{74}{5}$$ to a mixed number.
9. Is $$\frac{88}{11}$$ greater than 8?
10. Which is greater: $$\frac{29}{4}$$ or $$\frac{21}{3}$$ ?

Answers to Questions

Easy Level Answers

1. Five-thirds
2. Yes
3. 1 $$\frac{3}{5}$$
4. 1
5. 1 $$\frac{3}{5}$$
6. Greater than 1
7. 2
8. 1 $$\frac{7}{8}$$
9. Seven-fourths
10. 1 whole pizza and 1 extra slice

Medium Level Answers

1. 4 $$\frac{2}{3}$$
2. 5
3. Yes
4. 2 $$\frac{1}{4}$$
5. Divide 13 by 4; the answer is 3 $$\frac{1}{4}$$
6. 4
7. 4 slices
8. 3 $$\frac{1}{6}$$
9. No
10. $$\frac{13}{5}$$

Hard Level Answers

1. 3 $$\frac{3}{8}$$
2. 3
3. Yes
4. 4 $$\frac{2}{7}$$
5. 3 $$\frac{9}{12}$$ or 3 $$\frac{3}{4}$$
6. 5
7. 8 whole pizzas
8. 14 $$\frac{4}{5}$$
9. Yes
10. $$\frac{21}{3}$$

Now, let’s practice to become experts in fractions greater than one! Happy learning!