What is 2\times 4+1/2 (-1/3) ?

The solution to 2\times 4+1/2 (-1/3) is 7 5/6

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2\times 4+1/2 (-1/3)

Solution

2 \cdot 4 + \frac{1}{2} (- \frac{1}{3})

Solution

7 \frac{5}{6}

Solution steps

2 \cdot 4 + \frac{1}{2} (- \frac{1}{3})

Follow the PEMDAS order of operations

Multiply and divide (left to right)

2 \cdot 4 : 8

2 \cdot 4

2 \cdot 4 = 8

= 8

= 8 + \frac{1}{2} (- \frac{1}{3})

Multiply and divide (left to right)

\frac{1}{2} (- \frac{1}{3}) : - \frac{1}{6}

\frac{1}{2} (- \frac{1}{3})

Apply rule

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

\frac{1}{2} (- \frac{1}{3}) = - \frac{1}{2} \cdot \frac{1}{3}

Apply the fraction rule:

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

\frac{1}{2} \cdot \frac{1}{3} = \frac{1 \cdot 1}{2 \cdot 3}

= - \frac{1 \cdot 1}{2 \cdot 3}

Multiply the numbers:

1 \cdot 1 = 1

= - \frac{1}{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= - \frac{1}{6}

= 8 - \frac{1}{6}

Add and subtract (left to right)

8 - \frac{1}{6} : \frac{47}{6}

8 - \frac{1}{6}

8 - \frac{1}{6} = \frac{47}{6}

8 - \frac{1}{6}

Convert element to fraction:

8 = \frac{8 \cdot 6}{6}

= \frac{8 \cdot 6}{6} - \frac{1}{6}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{8 \cdot 6 - 1}{6}

8 \cdot 6 - 1 = 47

8 \cdot 6 - 1

Multiply the numbers:

8 \cdot 6 = 48

= 48 - 1

Subtract the numbers:

48 - 1 = 47

= 47

= \frac{47}{6}

= \frac{47}{6}

= \frac{47}{6}

Convert improper fractions to mixed numbers:

\frac{47}{6} = 7 \frac{5}{6}

\frac{47}{6} = 7

Remainder

5

\frac{47}{6}

Write the problem in long division format

6 \overline{∣ 47}

Divide

47

6

to get

7

Divide

47

6

to get

7

7 6 \overline{∣ 47}

Multiply the quotient digit

(7)

by the divisor

6

7 6 \overline{∣ 47} \underline{42}

Subtract

42

from

47

7 6 \overline{∣ 47} \underline{42} 5

7 6 \overline{∣ 47} \underline{42} 5

The solution for Long Division of

\frac{47}{6}

7

with remainder of

5

7 Remainder 5

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{47}{6} = 7 \frac{5}{6}

= 7 \frac{5}{6}

= 7 \frac{5}{6}

Popular Examples

3^2-5+8^0

3^{2} - 5 + 8^{0}

12\div (-4)+6

12 \div (- 4) + 6

(3+1)^5\div (5-1)^7

(3 + 1)^{5} \div (5 - 1)^{7}

-[2-4(-2+9)]

- [2 - 4 (- 2 + 9)]

[36-(4+6)+2]-[1+24+3]

[36 - (4 + 6) + 2] - [1 + 24 + 3]

Frequently Asked Questions (FAQ)

What is 2\times 4+1/2 (-1/3) ?
The solution to 2\times 4+1/2 (-1/3) is 7 5/6