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$8\div 1 \frac{4}{5}$

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Add, subtract, multiply, or divide two fractions

Full solution

Q.

8\div 1 \frac{4}{5}

Convert to Improper Fraction: Convert the mixed number to an improper fraction. $\newline$ $1 \frac{4}{5} = \frac{(5\times1 + 4)}{5} = \frac{9}{5}$
Multiply by Reciprocal: Perform the division by multiplying by the reciprocal of the fraction. $8 \div \frac{9}{5} = 8 \times \frac{5}{9}$
Simplify Multiplication: Simplify the multiplication. $8 \times \frac{5}{9} = \frac{40}{9}$
Convert to Mixed Number: Convert the improper fraction to a mixed number. $\newline$ $\frac{40}{9} = 4 \frac{4}{9}$

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