What is 3.53 with the 3 repeating as a fraction

To find the fraction with 3 repeating, we have to create equation with repeating value of fraction.

The fraction would be .

Given:

The given number is 3.53.

Let fraction is .

Write the repeating value of fraction.

Multiply both by side 10.

----------------------- (1)

Multiply both side by 100.

-------------------(2)

Subtract equation (1) and (2).

Thus, the fraction would be .

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Step-by-step explanation:

We require to create 2 equations with the repeating value after the decimal point.

let x = 3.533333... ← multiply both sides by 10 then by 100

10x = 35.3333... → (1)

100x = 353.3333... → (2)

Subtract (1) from (2) thus eliminating the repeating value

90x = 318 ( divide both sides by 90 )

x = =