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Introduction to Fractions

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Introduction to Fractions

Read each question carefully. Show your thinking where needed, and shade or mark diagrams clearly.

Fraction foundations

1.A fraction describes how many equal parts are being considered out of how many equal parts in the whole. In the fraction 5/8, what is the numerator?

2.In the fraction 5/8, what is the denominator?

3.What does the denominator tell you in a fraction?

The number of equal parts in the whole
The number of parts being counted
The size of the whole

4.Draw and shade each fraction: show 1/2 of a circle, 3/5 of a rectangle, and 2/3 of a square. Divide each shape into equal parts before shading.

Fractions on a number line

5.Place 1/5, 3/5 and 4/5 at the correct positions on the number line from 0 to 1.

6.Choose the larger fraction, 2/7 or 1/3.

2/7
1/3
They are equal

Fractions in everyday situations

7.A tray of 10 equal-sized pikelets has 4 eaten. What fraction of the pikelets has been eaten? Give your answer in simplest form.

8.Match each fraction with its name.

One-sixth
Two-thirds
Three-quarters
One-half

9.A loaf is cut into 8 equal slices. Maia eats 3 slices. Write the fraction eaten and the fraction remaining.

Think about fractions

10.Select every statement that is true.

A numerator tells how many parts are being counted.
A denominator tells how many equal parts make the whole.
The numerator must always be smaller than the denominator.
3/6 and 1/2 have the same value.

11.In your own words, describe what 3/7 means.

12.A kete holds 12 mandarins. If 5 are taken out, what fraction of the mandarins were taken out, and what fraction remain? Give both answers in simplest form.