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

The solution to 1 1/3 \times 5\div 2/3 is 10

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1 1/3 \times 5\div 2/3

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

10

Solution steps

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

Convert mixed numbers to improper fractions:

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

1 \frac{1}{3}

Convert mixed numbers to improper fraction:

a \frac{b}{c} = \frac{a \cdot c + b}{c}

1 \frac{1}{3} = \frac{1 \cdot 3 + 1}{3}

= \frac{4}{3}

= \frac{4}{3} \times 5 \div \frac{2}{3}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{4}{3} \times 5 \div \frac{2}{3} : 10

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

\frac{4}{3} \times 5 = \frac{20}{3}

\frac{4}{3} \cdot 5

Convert element to fraction:

5 = \frac{5}{1}

= \frac{4}{3} \cdot \frac{5}{1}

Apply the fraction rule:

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

= \frac{4 \cdot 5}{3 \cdot 1}

Multiply the numbers:

4 \cdot 5 = 20

= \frac{20}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{20}{3}

= \frac{20}{3} \div \frac{2}{3}

\frac{20}{3} \div \frac{2}{3} = 10

\frac{20}{3} \div \frac{2}{3}

Apply the fraction rule:

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

= \frac{20}{3} \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{20 \cdot 3}{3 \cdot 2}

Cancel the common factor:

3

= \frac{20}{2}

Divide the numbers:

\frac{20}{2} = 10

= 10

= 10

= 10

(- 9) (- 6 + 4 - 7 - 2 + 8 - 3 + 9)

50 - 8 \times 5 \div 10

3 - 4 - 5

(7 + 3) - (5 + 4)

3 - 4 + 2