What is -6 2/5 \times 3\div 2 2/4 ?

The solution to -6 2/5 \times 3\div 2 2/4 is -192/25

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-6 2/5 \times 3\div 2 2/4

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

- \frac{192}{25}

Solution steps

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

Convert mixed numbers to improper fractions:

6 \frac{2}{5} = \frac{32}{5}

6 \frac{2}{5}

Convert mixed numbers to improper fraction:

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

6 \frac{2}{5} = \frac{6 \cdot 5 + 2}{5}

= \frac{32}{5}

= - \frac{32}{5} \times 3 \div 2 \frac{2}{4}

Convert mixed numbers to improper fractions:

2 \frac{2}{4} = \frac{10}{4}

2 \frac{2}{4}

Convert mixed numbers to improper fraction:

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

2 \frac{2}{4} = \frac{2 \cdot 4 + 2}{4}

= \frac{10}{4}

= - \frac{32}{5} \times 3 \div \frac{10}{4}

\frac{10}{4} = \frac{5}{2}

Cancel the common factor:

2

\frac{5}{2}

= - \frac{32}{5} \times 3 \div \frac{5}{2}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- \frac{32}{5} \times 3 \div \frac{5}{2} : - \frac{192}{25}

- \frac{32}{5} \times 3 \div \frac{5}{2}

- \frac{32}{5} \times 3 = - \frac{96}{5}

- \frac{32}{5} \cdot 3

Convert element to fraction:

3 = \frac{3}{1}

= - \frac{32}{5} \cdot \frac{3}{1}

Apply the fraction rule:

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

\frac{32}{5} \cdot \frac{3}{1} = \frac{32 \cdot 3}{5 \cdot 1}

= - \frac{32 \cdot 3}{5 \cdot 1}

Multiply the numbers:

32 \cdot 3 = 96

= - \frac{96}{5 \cdot 1}

Multiply the numbers:

5 \cdot 1 = 5

= - \frac{96}{5}

= - \frac{96}{5} \div \frac{5}{2}

- \frac{96}{5} \div \frac{5}{2} = - \frac{192}{25}

- \frac{96}{5} \div \frac{5}{2}

Apply the fraction rule:

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

= - \frac{96}{5} \cdot \frac{2}{5}

Multiply fractions:

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

= - \frac{96 \cdot 2}{5 \cdot 5}

Multiply the numbers:

96 \cdot 2 = 192

= - \frac{192}{5 \cdot 5}

Multiply the numbers:

5 \cdot 5 = 25

= - \frac{192}{25}

= - \frac{192}{25}

= - \frac{192}{25}

(- 1)^{4} - 15 (- 1)^{2} + 10 (- 1) + 24

7 \div (5 \times 2 - (6 \div 3))

213 + 321969 - 332162

4 \div (5 \frac{1}{3} + 2 \frac{2}{3})

(- 3)^{2} + 3 (- 3)

What is -6 2/5 \times 3\div 2 2/4 ?
The solution to -6 2/5 \times 3\div 2 2/4 is -192/25