Question

Write 80 cm as a fraction of 4 m. Give your answer in its simplest form.

Answer 1

80 cm as a fraction of 4 m is
`(1)/(5)`

Explanation:

To write the fraction of two different quantities you must put them in the same units

Example: To write 5 grams as a fraction of 1 kilogram

• Change the 1 kilogram to grams by multiplying it by 1000
• The fraction will be
  `(5)/(1000)`
• Reduce it to its simplest form by divide up and down by 5 to be
  `(1)/(200)`

Let us use the same way to solve the question

∵ 1 meter = 100 centimeters

∴ 4 meters = 4 × 100 = 400 centimeters

→ Now put 80 centimeters as a numerator and 400 centimeters as

a denominator

∵ The fraction is
`(80)/(400)`

→ Divide up and down by 80 to simplify it

∴ The fraction =
`((80)/(80))/((400)/(80))`

∵ 80 ÷ 80 = 1

∵ 400 ÷ 80 = 5

∴ The fraction in its simplest form =
`(1)/(5)`

∴ 80 cm as a fraction of 4 m is
`(1)/(5)`