KnowledgeMadeFun, home

Lesson · Grade 5 · Mathematics

Equivalent Fractions: Same Amount, Different Pieces

  • Grade 5
  • Mathematics
  • 1 min 21 s
  • British Columbia
  • BC5-MA-05

Three strips of the same whole show that 2 shaded thirds cover exactly the same amount as 4 shaded sixths, because each third covers exactly two sixths. A number line from 0 to 1, the same length as the strips, then shows 2/3 and 4/6 landing on the same point, so they are equivalent fractions.

Anyone can watch two lessons on the website without an account. Signing in is free, no payment and no card, and opens three a day; Plus has no limit.

Loading

Share to Google Classroom

In one sentence

The question this lesson answers

Is two thirds the same amount as four sixths?

Start with one whole strip.

Transcript

What the lesson says

Is two thirds the same amount as four sixths?

Start with one whole strip.

Cut the same whole into three equal parts, called thirds.

Shade two of them to show two thirds.

Cut the same whole again, into six equal parts, called sixths.

Shade four of them to show four sixths.

Both shaded parts end at exactly the same place.

Each third covers exactly two sixths.

So two thirds cover two plus two, which is four sixths.

Now draw a number line from 0 to 1, the same length as the whole strip.

Mark thirds above the line and find two thirds.

Mark sixths below the line and find four sixths.

Two thirds and four sixths land on the very same point.

So two thirds equals four sixths, and we call them equivalent fractions.

Equivalent fractions show the same amount of the same whole, cut into different pieces.

Curriculum

Where this fits

British Columbia, Grade 5

Mathematics, Number: equivalent fractionsBC5-MA-05

Previous: Decimal place value: tenths, hundredths and thousandthsNext: Making Equivalent Fractions: Multiply the Top and the Bottom

The outcomes and strands follow the British Columbia curriculum.

Keep going

More on this topic