M3.3.1 For the adult

Equal fractions and simplest form

My answer is 12/18 and the book says 2/3. Who is right?

What this chapter teaches

The same amount can be written as many different fractions. Multiplying or dividing the top and the bottom by the same number keeps the amount. Simplest form is the shortest name. A mixed number and an improper fraction are two names for an amount over 1.

Three questions to ask

There is no one right wording. Listen for the idea.

  1. Can you show with a drawing that 4/6 is the same as 2/3?
  2. How do you find the number to divide by when you simplify 18/24?
  3. How would you change 11/4 into a mixed number, and why does it work?

After the chapter, the learner can

  • Simplify 12/18 by dividing the top and bottom by 6
  • Change 7/3 into 2 1/3 and back again

What they copy into their notebook

Equal fractions name the same amount. Multiply or divide the top and the bottom by the same number. Simplest form: divide by the HCF.

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