Fractions · Grades 3–5

Fractions Explained for Kids with Pictures

A fraction names equal parts of one whole. The bottom number tells how many equal parts make the whole; the top number tells how many parts we mean.

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What children need to know first

  1. Parts must be equal in size for a shape to show a fraction of that whole.
  2. In 3/4, the denominator 4 means the whole is divided into four equal parts, and the numerator 3 means three parts are considered.

Step-by-step explanation

  1. Choose one whole, such as one same-sized rectangle.
  2. Divide it into the number of equal parts named by the denominator.
  3. Shade or select the number of parts named by the numerator.
  4. Read the fraction using numerator over denominator.

Worked examples

Three of four equal parts

Split one bar into 4 equal sections and shade 3.

Answer: 3/4 There are four equal parts altogether and three are shaded.

One half of a sandwich

Cut one same-size sandwich into 2 equal pieces and take 1 piece.

Answer: 1/2 One of two equal parts represents one half.

3 of 4 equal parts = 3/4
Three of four equal parts are shaded: 3/4.

Common mistakes and how to fix them

  1. Dividing a picture into unequal parts. Redraw the whole so sections have the same size.
  2. Thinking a larger denominator always means a larger fraction. Compare how large each equal part becomes.

Parent teaching tips

  1. Fold a paper strip into equal sections before writing the fraction.
  2. Keep the same whole when comparing fractions, so the parts refer to equal sized wholes.

Independent practice

  1. A shape is split into 5 equal parts and 2 are shaded. What fraction is shaded?
  2. Draw a bar for 3/6 and label the numerator and denominator.

Practice answers

  1. 2/5
  2. 3 shaded of 6 equal parts

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Open the matching Grades 3–5 activity for Fractions. You can print its worksheet with questions only or an answer key.

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