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Express 8.21 as a mixed number.

Express $8$ . $21$ as a mixed number.

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Convert between decimals and fractions

Full solution

Q. Express

8

.

21

as a mixed number.

Separate Whole Number: To express $8.21$ as a mixed number, we need to separate the whole number part from the decimal part. $\newline$ The whole number part is $8$ , and the decimal part is $.21$ .
Express Decimal as Fraction: Now we need to express the decimal part as a fraction. Since $.21$ has two decimal places, we will use $100$ as the denominator. $\newline$ So, $.21$ is equivalent to $\frac{21}{100}$ .
Simplify Fraction: We simplify the fraction $\frac{21}{100}$ by finding the greatest common divisor (GCD) of $21$ and $100$ . The GCD of $21$ and $100$ is $1$ , so the fraction is already in its simplest form.
Combine Whole Number and Fraction: Now we combine the whole number part with the simplified fraction to form the mixed number. $\newline$ The mixed number is $8\frac{21}{100}$ .

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