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Write $0.86$ as a fraction. $\newline$ _____

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Convert between decimals and fractions

Full solution

Q. Write

0.86

as a fraction.

\newline

_____

Identify place value: Identify the place value of the decimal number. $0.86$ has two digits after the decimal point, which means the last digit is in the hundredths place.
Write as fraction: Write the decimal as a fraction with a denominator that reflects its place value. Since the last digit is in the hundredths place, we can write $0.86$ as $\frac{86}{100}$ .
Simplify fraction: Simplify the fraction. $\newline$ Both the numerator and the denominator are divisible by $2$ . Let's divide them by $2$ to simplify the fraction. $\newline$ $86 \div 2 = 43$ $\newline$ $100 \div 2 = 50$ $\newline$ So, $\frac{86}{100}$ simplifies to $\frac{43}{50}$ .

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