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lbvjy [14]
3 years ago
9

How do you turn 1.83 (3 repeating) into a simplified fraction?

Mathematics
1 answer:
seraphim [82]3 years ago
5 0

Answer:

The value of 1.83.... (3 repeating) in the form of a simplified fraction = \frac{165}{90}

Step-by-step explanation:

Let x be = 1.83....(3 repeating)

∵ only one number is repeating, multiply the number with 10

∴ 10x = 10 × 1.83.... = 18.3..... (3 repeating)

Subtracting both the equations = 10x - x = 18.3.... - 1.83....

                                                     = 9x = 16.5

∴ x = \frac{16.5}{9} =

\frac{16.5}{9} × 10 = \frac{165}{90}

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