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3 years ago

Rewrite as a simplified fraction. 3.48 repeating

Mathematics

1 answer:

Nutka1998 [239]3 years ago

3 0

Answer:

$\frac{115}{33}$

Step-by-step explanation:

assuming 48 is repeating

We have to create 2 equations with the repeating decimal placed after the decimal point.

let x = 3.4848..... → (1)

multiply both sides by 100

100x = 348.4848... → (2)

Subtract (1) from (2) thus eliminating the decimal

99x = 345 ( divide both sides by 99 )

x = $\frac{345}{99}$ = $\frac{115}{33}$ ← in simplest form

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