What is -1/6*(-4)+2/3 ?

The solution to -1/6*(-4)+2/3 is 1 1/3

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Popular >

-1/6*(-4)+2/3

Solution

- \frac{1}{6} \cdot (- 4) + \frac{2}{3}

Solution

1 \frac{1}{3}

Solution steps

- \frac{1}{6} (- 4) + \frac{2}{3}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- \frac{1}{6} (- 4) : \frac{2}{3}

- \frac{1}{6} (- 4)

Apply rule

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

- \frac{1}{6} (- 4) = \frac{1}{6} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{1}{6} \cdot \frac{4}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 4}{6 \cdot 1}

\frac{1 \cdot 4}{6 \cdot 1} = \frac{2}{3}

\frac{1 \cdot 4}{6 \cdot 1}

\frac{1 \cdot 4}{6 \cdot 1} = \frac{4}{6}

\frac{1 \cdot 4}{6 \cdot 1}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4}{6 \cdot 1}

Multiply the numbers:

6 \cdot 1 = 6

= \frac{4}{6}

= \frac{4}{6}

Factor the number:

4 = 2 \cdot 2

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

Factor the number:

6 = 2 \cdot 3

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

Cancel the common factor:

2

= \frac{2}{3}

= \frac{2}{3}

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

Add and subtract (left to right)

\frac{2}{3} + \frac{2}{3} : \frac{4}{3}

\frac{2}{3} + \frac{2}{3}

\frac{2}{3} + \frac{2}{3} = \frac{4}{3}

\frac{2}{3} + \frac{2}{3}

Apply rule

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

= \frac{2 + 2}{3}

Add the numbers:

2 + 2 = 4

= \frac{4}{3}

= \frac{4}{3}

= \frac{4}{3}

Convert improper fractions to mixed numbers:

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

\frac{4}{3} = 1

Remainder

1

\frac{4}{3}

Write the problem in long division format

3 \overline{∣ 4}

Divide

4

3

to get

1

Divide

4

3

to get

1

1 3 \overline{∣ 4}

Multiply the quotient digit

(1)

by the divisor

3

1 3 \overline{∣ 4} \underline{3}

Subtract

3

from

4

1 3 \overline{∣ 4} \underline{3} 1

1 3 \overline{∣ 4} \underline{3} 1

The solution for Long Division of

\frac{4}{3}

1

with remainder of

1

1 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

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

= 1 \frac{1}{3}

= 1 \frac{1}{3}

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(- 4) + (3 + 5)

(14+2)^2

(14 + 2)^{2}

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(1)^{2} - 3 (1) + 2

28-[21-(12-3)-7]

28 - [21 - (12 - 3) - 7]

10-[6-2*2+(8-3)]*2

10 - [6 - 2 \cdot 2 + (8 - 3)] \cdot 2

Frequently Asked Questions (FAQ)

What is -1/6*(-4)+2/3 ?
The solution to -1/6*(-4)+2/3 is 1 1/3