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Multiply. Write your answer as a fraction or as a whole or mixed number. $\newline$ $\frac{2}{3} \times 9 =$ _____

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Multiply mixed numbers and whole numbers

Full solution

Q. Multiply. Write your answer as a fraction or as a whole or mixed number.

\newline

\frac{2}{3} \times 9 =

_____

Convert to Fraction: Convert the whole number into a fraction. $\newline$ To multiply a fraction by a whole number, convert the whole number into a fraction by putting it over $1$ . $\newline$ $9 = \frac{9}{1}$
Multiply Fractions: Multiply the fractions. $\newline$ Now multiply the numerators together and the denominators together. $\newline$ $(\frac{2}{3}) \times (\frac{9}{1}) = (\frac{2\times9}{3\times1}) = \frac{18}{3}$
Simplify Result: Simplify the fraction. $\newline$ $\frac{18}{3}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ . $\newline$ $18 \div 3 = 6$ $\newline$ $3 \div 3 = 1$ $\newline$ So, $\frac{18}{3} = \frac{6}{1}$ which is $6$ .

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