Question

find the quotient & simplify.

1. \\(1 \frac{2}{3} \div 5 =\\)

Explanation:

Convert mixed number to improper fraction

Using the Improper Fractions knowledge point, we convert the mixed number to a fraction.
Multiply the whole number by the denominator and add the numerator:

$$ 1\frac{2}{3} = \frac{1 \times 3 + 2}{3} = \frac{5}{3} $$

Write the whole number as a fraction

Write the divisor as a fraction with a denominator of 1:

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

Multiply by the reciprocal

To divide by a fraction, multiply by its reciprocal:

$$ \frac{5}{3} \div \frac{5}{1} = \frac{5}{3} \times \frac{1}{5} $$

Simplify the expression

Multiply the numerators and denominators, then simplify by canceling common factors:

$$ \frac{5 \times 1}{3 \times 5} = \frac{1}{3} $$

Answer:

Find the quotient & simplify.

1. \(1\frac{2}{3} \div 5 =\) <blank>\(\frac{1}{3}\)</blank>