Class 6 Mathematics: Fractions and Decimals

Learning objectives

• Recognise equivalent fractions.
• Compare fractions using common denominators.
• Convert simple fractions to decimals.
• Solve money and measurement problems.

Understanding a fraction

A fraction represents part of a whole or part of a group. The numerator tells how many equal parts are being considered, while the denominator tells how many equal parts make the whole.

Fractions are equivalent when they describe the same value. Multiplying or dividing both numerator and denominator by the same non-zero number keeps the fraction’s value unchanged.

Comparing and operating

Fractions with the same denominator can be compared by looking at their numerators. For unlike denominators, convert them to equivalent fractions with a common denominator.

To add or subtract unlike fractions, first find a common denominator. Then combine the numerators and simplify the result where possible.

Decimals and place value

Decimals are another way to write fractions based on tenths, hundredths and thousandths. In 3.47, the 4 represents four tenths and the 7 represents seven hundredths.

Money and metric measurements commonly use decimals. Align decimal points before adding or subtracting.

Practice questions with explanations

Try each question before opening the answer. The explanation shows the reasoning, not only the final response.

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