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Solnce55 [7]
3 years ago
12

0.16 (6 repeating) as a simplified fraction

Mathematics
1 answer:
a_sh-v [17]3 years ago
4 0

Answer:

\frac{1}{6}

Step-by-step explanation:

We require to create 2 equations with the repeating digit (6) after the decimal point.

let x = 0.166.... ( multiply both sides by 10 and 100 )

10x = 1.66.... → (1)

100x = 16.66..... → (2)

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

90x = 15 ( divide both sides by 90 )

x = \frac{15}{90} = \frac{1}{6}

Thus

0.166...... = \frac{1}{6}

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