Question

simplify.

1. \\(13 \frac{5}{9} \div 5 =\\) ________

Explanation:

Convert the mixed number to an improper fraction

Using the Improper Fractions knowledge point

$$ 13\frac{5}{9} = \frac{13 \times 9 + 5}{9} = \frac{117 + 5}{9} = \frac{122}{9} $$

Write the whole number as a fraction

Using the Improper Fractions knowledge point

$$ 5 = \frac{5}{1} $$

Set up the division using the reciprocal

Using the Fraction Division and Reciprocals knowledge points

$$ \frac{122}{9} \div \frac{5}{1} = \frac{122}{9} \times \frac{1}{5} $$

Multiply the numerators and denominators

Using the Fraction Division knowledge point

$$ \frac{122 \times 1}{9 \times 5} = \frac{122}{45} $$

Convert the improper fraction back to a mixed number

Using the Simplifying Fractions knowledge point

$$
LATEXBLOCK0
$$

Answer:

\(13 \frac{5}{9} \div 5 =\) <blank>\(2\frac{32}{45}\)</blank>