A terminating decimal is one that has a finite number of digits after the decimal point.

Converting fractions to terminating decimals 

Maths

In this unit, pupils have explored the structure of fractions and their relationship with decimals and integers. This is built on in the future unit where pupils deepen their understanding of the arithmetic procedures involving fractions and integers.

In this unit, pupils will be asked to compare and order both fractions and decimals and will assess when conversion is required. Fluency in working with decimals and integers is an important skill which is developed in the prior unit.

Comparing and ordering fractions and decimals (positive and negative)

Decimals that have a finite number of digits after the decimal point are called {{ }} decimals.

Without using a calculator, work out the decimal value of $$\frac {7}{8}$$. {{ }}

Select all the fractions that can be written as terminating decimals.

Sofia uses her calculator to convert $$0.3756$$ to a fraction. She gets an answer of $$\frac {939}{\square}$$. What number should go in the square? {{ }}

Match each fraction to its terminating decimal. You can use a calculator for this question.

Lucas is correct as $$1320$$ has factors of $$3$$ and $$11$$

Lucas is correct as only fractions with a denominator of $$10$$ terminate

Lucas is wrong as the fraction simplifies to $$1\over20$$ which terminates

Lucas is wrong as the denominator is a multiple of $$10$$

Lucas is wrong as $$66$$ is a multiple of $$2$$

Lucas says that $$66 \over 1320$$ is not equivalent to a terminating decimal. Without using a calculator, explain whether Lucas is correct or not. 

Fractions where the numerator is less than the denominator are called {{ }} fractions.

The integer that is equivalent to the fraction $$30 \over 5$$ is {{ }}.

Write $$3\frac{2}{7}$$ as an improper fraction.

Write the correct symbol (<, > or =) to make the statement true: $$17 \frac {1}{2} $${{ }} $$\frac {69}{4} $$

Starting with the smallest, put these fractions and mixed numbers in order of size.

A gardener puts up a fence around a rectangular garden. Each fence panel is 1 metre long and costs £25. What is the total cost of the fencing? £{{ }}

This lesson will be removed by end of Summer Term 2025.

Converting fractions to terminating decimals

Lesson outcome

This lesson will be removed by end of Summer Term 2025.