The solution to 3-4(5/6) is -1/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3-4(5/6)

Solution

3 - 4 (\frac{5}{6})

Solution

- \frac{1}{3}

Solution steps

3 - 4 (\frac{5}{6})

Follow the PEMDAS order of operations

Multiply and divide (left to right)

4 (\frac{5}{6}) : \frac{10}{3}

4 (\frac{5}{6})

Apply rule:

(a) = a

(\frac{5}{6}) = \frac{5}{6}

= 4 \cdot \frac{5}{6}

4 \cdot \frac{5}{6} = \frac{10}{3}

4 \cdot \frac{5}{6}

Convert element to fraction:

4 = \frac{4}{1}

= \frac{4}{1} \cdot \frac{5}{6}

Apply the fraction rule:

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

= \frac{4 \cdot 5}{1 \cdot 6}

Cancel

\frac{4 \cdot 5}{1 \cdot 6} : \frac{10}{3}

\frac{4 \cdot 5}{1 \cdot 6}

Multiply the numbers:

1 \cdot 6 = 6

= \frac{4 \cdot 5}{6}

Factor the number:

4 = 2 \cdot 2

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

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 2 \cdot 5}{2 \cdot 3}

Cancel the common factor:

2

= \frac{2 \cdot 5}{3}

Multiply the numbers:

2 \cdot 5 = 10

= \frac{10}{3}

= \frac{10}{3}

= \frac{10}{3}

= 3 - \frac{10}{3}

Add and subtract (left to right)

3 - \frac{10}{3} : - \frac{1}{3}

3 - \frac{10}{3}

3 - \frac{10}{3} = - \frac{1}{3}

3 - \frac{10}{3}

Convert element to fraction:

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

= \frac{3 \cdot 3}{3} - \frac{10}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{3 \cdot 3 - 10}{3}

3 \cdot 3 - 10 = - 1

3 \cdot 3 - 10

Multiply the numbers:

3 \cdot 3 = 9

= 9 - 10

Subtract the numbers:

9 - 10 = - 1

= - 1

= \frac{- 1}{3}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{1}{3}

= - \frac{1}{3}

= - \frac{1}{3}

Popular Examples

6\times (3+6^2-5)\div 5

6 \times (3 + 6^{2} - 5) \div 5

-8(-2)-[(4^2)+(7-3)]

- 8 (- 2) - [(4^{2}) + (7 - 3)]

5\times (-2^2)-5\times (-2)+1/(-2)

5 \times (- 2^{2}) - 5 \times (- 2) + \frac{1}{- 2}

2(0)^2+3(0)-1

2 (0)^{2} + 3 (0) - 1

(6-7)\times (-3+4)

(6 - 7) \times (- 3 + 4)

Frequently Asked Questions (FAQ)

What is 3-4(5/6) ?
The solution to 3-4(5/6) is -1/3

3-4(5/6)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 3-4(5/6) ?