Converting fractions to terminating decimals | Maths | Quizalize & Oak National Academy

Starter quiz

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

'proper' ✓
The integer that is equivalent to the fraction $30 \over 5$ is ______.

'6' ✓
Write $3\frac{2}{7}$ as an improper fraction.

$\frac{23}{2}$

$\frac{21}{7}$

$\frac{22}{7}$

$\frac{23}{7}$ ✓

$\frac{24}{7}$
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.

1

⇔

$1\frac {1}{8}$

2

⇔

$1\frac {1}{4}$

3

⇔

$\frac {13}{8}$

4

⇔

$1\frac {3}{4}$

5

⇔

$2\frac {1}{8}$

6

⇔

$\frac {18}{8}$
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? £______

'650' ✓

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

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

'0.875' ✓
Select all the fractions that can be written as terminating decimals.

$\frac {7}{16}$ ✓

$\frac {7}{5}$ ✓

$\frac {7}{15}$

$\frac {7}{20}$ ✓

$\frac {7}{30}$
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? ______

'2500' ✓
Match each fraction to its terminating decimal. You can use a calculator for this question.

$\frac {82}{125}$

⇔

$0.656$ ✓

$\frac {3281}{5000}$

⇔

$0.6562$ ✓

$\frac {21}{32}$

⇔

$0.65625$ ✓

$\frac {26}{40}$

⇔

$0.65$ ✓

$\frac {180}{300}$

⇔

$0.6$ ✓
Lucas says that $66 \over 1320$ is not equivalent to a terminating decimal. Without using a calculator, explain whether Lucas is correct or not.

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 $2$

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The line in a fraction means divide.
Dividing the numerator by the denominator may result in an equivalent terminating decimal.
It can be shown that 1/2, 1/4 and 1/10 have equivalent terminating decimals.
Using a calculator can help investigate fractions which are equivalent to terminating decimals.

Denominators that are multiples of 10 will give a terminating decimal.

Investigate the difference between powers of 10 and multiples of 10. e.g 7/30 and 7/100

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