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3 votes
Represent 0.533 (only the last 3 is bar number) into a rational number

User Pvel
by
4.8k points

2 Answers

1 vote

Answer:

IT IS 8/15

Step-by-step explanation: Divide and multiply the fraction from 100 to tens

User Jnemecz
by
5.5k points
1 vote

Answer:


(8)/(15)

Explanation:

We require 2 equations with the repeating 3 placed after the decimal point.

let x = 0.5333.. ( multiply both sides by 10 and 100 )

10x = 5.333... → (1)

100x = 53.333... → (2)

Subtract (1) from (2) tus eliminating the repeating 3

90x = 48 ( divide both sides by 90 )

x =
(48)/(90) =
(8)/(15)

User Tyrel
by
5.5k points