What is 4 1/3 \div 1 2/5 ?

The solution to 4 1/3 \div 1 2/5 is 3 2/21

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4 1/3 \div 1 2/5

4 \frac{1}{3} \div 1 \frac{2}{5}

3 \frac{2}{21}

Solution steps

4 \frac{1}{3} \div 1 \frac{2}{5}

Convert mixed numbers to improper fractions:

4 \frac{1}{3} = \frac{13}{3}

= \frac{13}{3} \div 1 \frac{2}{5}

Convert mixed numbers to improper fractions:

1 \frac{2}{5} = \frac{7}{5}

= \frac{13}{3} \div \frac{7}{5}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{13}{3} \times \frac{5}{7}

Multiply fractions:

\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}

= \frac{13 \times 5}{3 \times 7}

Multiply the numbers:

13 \times 5 = 65

= \frac{65}{3 \times 7}

Multiply the numbers:

3 \times 7 = 21

= \frac{65}{21}

Convert improper fractions to mixed numbers:

\frac{65}{21} = 3 \frac{2}{21}

= 3 \frac{2}{21}

(x + 1) (x + 2) (2 x + 3)

\frac{144}{25}

(m - n - 1) (m - n + 1)

(- 5) + (- 13)