Checking and securing understanding of converting between fractions and decimals | Maths

Starter quiz

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

fast

terminating ✓

solid

finished

recurring
Which of the following is a mixed number?

${{4} \over {3}}$

$6 {{2} \over {3}}$ ✓

${{5} \over {8}}$

${{4} \over {9}}$
Which of the following is equivalent to ${{2} \over {3}}$ ?

${{4} \over {6}}$ ✓

${{8} \over {12}}$ ✓

${{4} \over {5}}$

${{6} \over {9}}$ ✓
Which of the following is equivalent to $\frac{4}{10}$ ?

$\frac{8}{10}$

$\frac{2}{5}$ ✓

$\frac{1}{4}$
Which of the following is equivalent to $\frac{5}{9}$ ?

$\frac{15}{27}$ ✓

$\frac{10}{9}$

$\frac{20}{27}$
Which of the following is an improper fraction?

$\frac{9}{10}$

$2 \frac{9}{10}$

$\frac{10}{9}$ ✓

$10.9$

Which of these is equivalent to 0.312?

$\frac{312}{100}$

$\frac{31}{120}$

$\frac{39}{125}$ ✓
Which of these is equivalent to 0.42?

$\frac{21}{50}$ ✓

$\frac{42}{1000}$

$\frac{11}{25}$
Which of these is equivalent to 0.04?

$\frac{1}{5}$

$\frac{1}{25}$ ✓

$\frac{1}{50}$
Convert 13.6 into a mixed number.

$13 \frac{3}{5}$ ✓

$13 \frac{68}{5}$

$13 \frac{136}{10}$
Convert 9.4 into a mixed number.

$9 \frac{4}{5}$

$9 \frac{2}{5}$ ✓

$9 \frac{2}{10}$
Convert 12.3 into an improper fraction.

$\frac{1203}{10}$

$\frac{1230}{10}$

$\frac{123}{10}$ ✓

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The line in a fraction is referred to as the fraction bar or vinculum and in a fraction this represents division.
Dividing the numerator by the denominator may result in an equivalent terminating decimal.
If the decimal is non-terminating then the decimal is an approximation of the fraction.
Writing the decimal as a fraction with a denominator of one allows you to use your knowledge of equivalent fractions.
Through equivalent fractions, you can write a fraction where the numerator is an integer value.

When ordering decimals, the more significant figures the greater the number.

When ordering decimals, having the same number of decimal places allows the pupils to see the magnitude of the number more clearly.

Vinculum - Vinculum is the horizontal line placed over an expression to show that everything below that line is one group.