What is -2 2/3 \times (-4) 3/7 ?

The solution to -2 2/3 \times (-4) 3/7 is 4 4/7

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Popular >

-2 2/3 \times (-4) 3/7

Solution

- 2 \frac{2}{3} \cdot (- 4) \frac{3}{7}

Solution

4 \frac{4}{7}

Solution steps

- 2 \frac{2}{3} \cdot (- 4) \frac{3}{7}

Convert mixed numbers to improper fractions:

2 \frac{2}{3} = \frac{8}{3}

2 \frac{2}{3}

Convert mixed numbers to improper fraction:

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

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

= \frac{8}{3}

= - \frac{8}{3} \cdot (- 4) \frac{3}{7}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- \frac{8}{3} (- 4) \frac{3}{7} : \frac{32}{7}

- \frac{8}{3} (- 4) \frac{3}{7}

- \frac{8}{3} \cdot (- 4) = \frac{32}{3}

- \frac{8}{3} (- 4)

Apply rule

- a \cdot (- b) = a \cdot b

- \frac{8}{3} (- 4) = \frac{8}{3} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{8}{3} \cdot \frac{4}{1}

Apply the fraction rule:

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

= \frac{8 \cdot 4}{3 \cdot 1}

Multiply the numbers:

8 \cdot 4 = 32

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

Multiply the numbers:

3 \cdot 1 = 3

= \frac{32}{3}

= \frac{32}{3} \cdot \frac{3}{7}

\frac{32}{3} \cdot \frac{3}{7} = \frac{32}{7}

= \frac{32}{7}

= \frac{32}{7}

Convert improper fractions to mixed numbers:

\frac{32}{7} = 4 \frac{4}{7}

\frac{32}{7} = 4

Remainder

4

\frac{32}{7}

Write the problem in long division format

7 \overline{∣ 32}

Divide

32

7

to get

4

Divide

32

7

to get

4

4 7 \overline{∣ 32}

Multiply the quotient digit

(4)

by the divisor

7

4 7 \overline{∣ 32} \underline{28}

Subtract

28

from

32

4 7 \overline{∣ 32} \underline{28} 4

4 7 \overline{∣ 32} \underline{28} 4

The solution for Long Division of

\frac{32}{7}

4

with remainder of

4

4 Remainder 4

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{32}{7} = 4 \frac{4}{7}

= 4 \frac{4}{7}

= 4 \frac{4}{7}

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4000-40^2-20*40-50

4000 - 4 0^{2} - 20 \cdot 40 - 50

15-8-2\times 1+5\times (4-12\div 6)

15 - 8 - 2 \times 1 + 5 \times (4 - 12 \div 6)

6+7/9 \div 4/8

6 + \frac{7}{9} \div \frac{4}{8}

4-15+19-2(16-23)

4 - 15 + 19 - 2 (16 - 23)

(1+(-3))\times 2

(1 + (- 3)) \times 2

Frequently Asked Questions (FAQ)

What is -2 2/3 \times (-4) 3/7 ?
The solution to -2 2/3 \times (-4) 3/7 is 4 4/7