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

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

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Popular >

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

Solution

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

Solution

2 \frac{2}{3}

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

- \frac{1}{3} (- 4)

Apply rule

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

- \frac{1}{3} (- 4) = \frac{1}{3} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

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

Multiply the numbers:

1 \cdot 4 = 4

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

Multiply the numbers:

3 \cdot 1 = 3

= \frac{4}{3}

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

Add and subtract (left to right)

\frac{4}{3} + \frac{4}{3} : \frac{8}{3}

\frac{4}{3} + \frac{4}{3}

\frac{4}{3} + \frac{4}{3} = \frac{8}{3}

\frac{4}{3} + \frac{4}{3}

Apply rule

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

= \frac{4 + 4}{3}

Add the numbers:

4 + 4 = 8

= \frac{8}{3}

= \frac{8}{3}

= \frac{8}{3}

Convert improper fractions to mixed numbers:

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

\frac{8}{3} = 2

Remainder

2

\frac{8}{3}

Write the problem in long division format

3 \overline{∣ 8}

Divide

8

3

to get

2

Divide

8

3

to get

2

2 3 \overline{∣ 8}

Multiply the quotient digit

(2)

by the divisor

3

2 3 \overline{∣ 8} \underline{6}

Subtract

6

from

8

2 3 \overline{∣ 8} \underline{6} 2

2 3 \overline{∣ 8} \underline{6} 2

The solution for Long Division of

\frac{8}{3}

2

with remainder of

2

2 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

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

= 2 \frac{2}{3}

= 2 \frac{2}{3}

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500-100\div 25+10

500 - 100 \div 25 + 10

200^2-160^2

20 0^{2} - 16 0^{2}

(2(-6)-3)/((-6)^2+1)

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

Frequently Asked Questions (FAQ)

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