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Write $8.75$ as a mixed number. $\newline$ _____

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Convert between decimals and mixed numbers

Full solution

Q. Write

8.75

as a mixed number.

\newline

_____

Convert to Fraction: Convert the decimal to a fraction by considering it as $8$ . $75$ over $1$ and multiplying by $100$ to eliminate the decimal point. $\newline$ Calculation: $8.75 \times \frac{100}{100} = \frac{875}{100}$
Simplify Fraction: Simplify the fraction by finding the greatest common divisor (GCD) of $875$ and $100$ , which is $25$ , and then divide both the numerator and the denominator by $25$ . $\newline$ Calculation: $\frac{875 \div 25}{100 \div 25} = \frac{35}{4}$
Convert to Mixed Number: Convert the improper fraction to a mixed number by dividing the numerator by the denominator. $\newline$ Calculation: $35 \div 4 = 8$ remainder $3$ , so it's $8 \frac{3}{4}$ .

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