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Write $0.98$ as a fraction.

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Convert between decimals and fractions

Full solution

Q. Write

0.98

as a fraction.

Write Decimal Over Place Value: To convert a decimal to a fraction, we need to write the decimal over its place value and then simplify if necessary. $\newline$ $0.98$ can be written as $98$ over $100$ because the $8$ is in the hundredths place. $\newline$ So, $0.98 = \frac{98}{100}$ .
Find Greatest Common Divisor: Now we need to simplify the fraction by finding the greatest common divisor (GCD) of $98$ and $100$ . The GCD of $98$ and $100$ is $2$ .
Simplify Fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction. $\newline$ $98 \div 2 = 49$ $\newline$ $100 \div 2 = 50$ $\newline$ So, $\frac{98}{100}$ simplified is $\frac{49}{50}$ .

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