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Lesson · Grade 5 · Mathematics

Making Equivalent Fractions: Multiply the Top and the Bottom

  • Grade 5
  • Mathematics
  • 55 s
  • British Columbia
  • BC5-MA-06

A bar showing 3/4 is copied and each part is cut into 3 equal pieces, giving 12 equal parts with 9 shaded, so 3/4 and 9/12 are the same amount. The video then shows this as multiplying the numerator and the denominator by 3, and ends on the rule: multiply the top and bottom by the same number.

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In one sentence

The question this lesson answers

How can we make a new fraction that is equal to three quarters?

Here is a bar cut into 4 equal parts, with 3 of them shaded.

Transcript

What the lesson says

How can we make a new fraction that is equal to three quarters?

Here is a bar cut into 4 equal parts, with 3 of them shaded.

Now cut each part into 3 equal pieces.

Now there are 12 equal parts.

9 of the 12 parts are shaded.

The shaded amount is the same, so three quarters and nine twelfths are equivalent.

Cutting each part into 3 multiplied the top and the bottom by 3.

On the top, 3 times 3 is 9.

On the bottom, 4 times 3 is 12.

The top number is the numerator, and the bottom number is the denominator.

To make an equivalent fraction, multiply the top and the bottom by the same number.

Curriculum

Where this fits

British Columbia, Grade 5

Mathematics, Number: equivalent fractionsBC5-MA-06

Previous: Equivalent Fractions: Same Amount, Different PiecesNext: Fraction Benchmarks: Is 3/8 Closer to 0, One Half or 1?

The outcomes and strands follow the British Columbia curriculum.

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