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$Express 0.1067 as a fraction.$

Express $0$ . $1067$ as a fraction.

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Convert between decimals and fractions

Full solution

Q. Express

0

.

1067

as a fraction.

Convert to Fraction: To express the decimal $0.1067$ as a fraction, we first observe that it has four decimal places. This means that the decimal can be written over $10,000$ (since $10^4 = 10,000$ for the four decimal places). $\newline$ $0.1067 = \frac{1067}{10,000}$
Simplify Fraction: Next, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and then dividing both by that number. The GCD of $1067$ and $10,000$ is $1$ , since $1067$ is a prime number. $\newline$ $1067 / 10,000 = (1067 \div 1) / (10,000 \div 1) = 1067 / 10,000$
Final Answer: Since the fraction cannot be simplified further, we have our final answer.

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