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Lesson · Grade 6 · Mathematics

One Number, Four Forms: 3/4 = 0.75 = 75% = 3:4

  • Grade 6
  • Mathematics
  • 1 min 11 s
  • British Columbia
  • BC6-MA-17

A grid of 100 squares is cut into 4 equal parts of 25 with 3 parts shaded, and that one shaded amount is written as the fraction 3/4 (also 75/100), the decimal 0.75, the percent 75% and the ratio of shaded to all squares, 75:100. Dividing both numbers of the ratio by 25 gives 3:4, and the video ends on one line showing that 3/4, 0.75, 75% and 3:4 are the same number in four forms.

Concept: One number, four forms: fraction, decimal, percent, ratio

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In one sentence

The question this lesson answers

Can one number be written as a fraction, a decimal, a percent and a ratio?

Here is a grid of 100 squares, cut into 4 equal parts of 25.

Transcript

What the lesson says

Can one number be written as a fraction, a decimal, a percent and a ratio?

Here is a grid of 100 squares, cut into 4 equal parts of 25.

Shade 3 of the 4 parts, which is 75 squares.

As a fraction, 3 of the 4 equal parts is three quarters.

It is also 75 of the 100 squares, which is 75 hundredths.

As a decimal, 75 hundredths is written 0.75.

Percent means out of 100, so 75 out of 100 is 75 percent.

As a ratio, shaded squares to all squares is 75 to 100.

Divide both numbers by 25, and the ratio becomes 3 to 4.

All four forms describe the same shaded part of the grid.

So three quarters, 0.75, 75 percent and 3 to 4 are one number in four forms.

Curriculum

Where this fits

British Columbia, Grade 6

Mathematics, Number: whole-number percents and percentage discountsBC6-MA-17

Previous: What a Percent Is: Parts of a HundredNext: Percent of an Amount

British Columbia, Grade 7

Mathematics, Number: relationships between decimals, fractions, ratios, and percentsBC7-MA-28

Previous: Fraction to Percent and BackNext: Why 1/3 is 0.333...

This lesson is also listed in Grade 7.

The outcomes and strands follow the British Columbia curriculum.

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