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Write $0.46$ as a fraction. $\newline$ _____

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Convert between decimals and fractions

Full solution

Q. Write

0.46

as a fraction.

\newline

_____

Identify Decimal Place Value: Step $1$ : Identify the place value of the decimal. $0.46$ has two decimal places, so it is equivalent to $\frac{46}{100}$ .
Simplify Fraction: Step $2$ : Simplify the fraction. $\newline$ The greatest common divisor (GCD) of $46$ and $100$ is $2$ . Divide both the numerator and the denominator by $2$ . $\newline$ $46 \div 2 = 23$ , $100 \div 2 = 50$ . $\newline$ So, $0.46$ as a fraction is $\frac{23}{50}$ .

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