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Hi! Let’s learn about fractions.

A fraction shows parts of a whole. Think of a pizza or a chocolate bar that is cut into equal pieces. A fraction tells you how many pieces we have and how many pieces the whole was cut into.

1) The two parts of a fraction

Look at this fraction: 3/4

  • Top number (3) is the numerator — it tells how many parts you have.
  • Bottom number (4) is the denominator — it tells how many equal parts the whole was cut into.

So 3/4 means 3 out of 4 equal parts (like 3 slices of a pizza that had 4 slices).

2) Easy examples

  • 1/2 (one-half) = half of something (like half a sandwich).
  • 1/4 (one-quarter) = one piece when something is cut into 4 equal pieces.
  • 3/4 = three of those four pieces.

3) Equivalent fractions (same amount, different numbers)

1/2 is the same as 2/4 and 4/8. You get these by multiplying top and bottom by the same number:

1/2 = (1×2)/(2×2) = 2/4

4) Simplifying (making a fraction smaller)

If both top and bottom can be divided by the same number, you can divide them to make the fraction simpler.

Example: 2/4 = divide top and bottom by 2 → 1/2

5) Adding fractions (when they have the same bottom number)

Only add the top numbers and keep the same bottom number.

Example: 1/4 + 2/4 = (1+2)/4 = 3/4

6) Which fraction is bigger?

  • When denominators are the same, the fraction with the bigger numerator is larger. Example: 3/8 is bigger than 1/8.
  • When numerators are the same, the fraction with the smaller denominator is larger because the pieces are bigger. Example: 1/3 is bigger than 1/4.

Practice time!

  1. A pizza has 4 slices. You eat 2 slices. What fraction did you eat? What fraction is left?
  2. Which is bigger: 1/3 or 1/4?
  3. What is 1/4 + 1/4?
  4. Simplify 3/6 to the simplest fraction.
  5. Write two fractions that are equal to 1/3.
  6. A cookie is cut into 8 equal pieces and you eat 3. What fraction of the cookie did you eat?

Answers

  1. You ate 2/4 (which is the same as 1/2). Left: 2/4 or 1/2.
  2. 1/3 is bigger than 1/4.
  3. 1/4 + 1/4 = 2/4, which can be simplified to 1/2.
  4. 3/6 = 1/2 (divide top and bottom by 3).
  5. Examples: 2/6 and 3/9 are equal to 1/3.
  6. You ate 3/8 of the cookie.

Tips to remember:

  • Numerator = how many parts you have. Denominator = how many equal parts make the whole.
  • To make equivalent fractions, multiply top and bottom by the same number.
  • To simplify, divide top and bottom by the same number.
  • Practice with real things: cut fruit, pizza, or a chocolate bar into equal parts and name the fractions.

Want more practice problems or pictures to draw with your fractions? I can give you worksheets or step-by-step drawing help!


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