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$Express 0.1846 as a fraction. ◻$

Express $0$ . $1846$ as a fraction. $\newline$ $\square$

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Convert decimals to fractions or mixed numbers

Full solution

Q. Express

0

.

1846

as a fraction.

\newline

\square

Divide Decimal by $1$ : To convert a decimal to a fraction, write down the decimal divided by $1$ and multiply both numerator and denominator by $10$ until you get a whole number in the numerator. $\newline$ $0.1846 \div 1 = \frac{0.1846}{1}$ $\newline$ Now, multiply both the numerator and denominator by $10,000$ to remove the decimal places. $\newline$ $\frac{0.1846}{1} \times \frac{10,000}{10,000} = \frac{1,846}{10,000}$
Multiply by $10$ , $000$ : Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. $\newline$ GCD of $1,846$ and $10,000$ is $2$ . $\newline$ Divide both the numerator and the denominator by the GCD. $\newline$ $1,846 \div 2 = 923$ $\newline$ $10,000 \div 2 = 5,000$

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