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Dennis_Churaev [7]
3 years ago
8

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

Mathematics
1 answer:
weqwewe [10]3 years ago
3 0

Answer:

\frac{8}{15}

Step-by-step 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 = \frac{48}{90} = \frac{8}{15}

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