The solution to 5/8 (-6)+4 is 1/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5/8 (-6)+4

Solution

\frac{5}{8} (- 6) + 4

\frac{1}{4}

Solution steps

\frac{5}{8} (- 6) + 4

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{5}{8} (- 6) : - \frac{15}{4}

\frac{5}{8} (- 6)

Apply rule

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

\frac{5}{8} (- 6) = - \frac{5}{8} \cdot 6

Convert element to fraction:

6 = \frac{6}{1}

= - \frac{5}{8} \cdot \frac{6}{1}

Apply the fraction rule:

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

\frac{5}{8} \cdot \frac{6}{1} = \frac{5 \cdot 6}{8 \cdot 1}

= - \frac{5 \cdot 6}{8 \cdot 1}

Cancel

\frac{5 \cdot 6}{8 \cdot 1} : \frac{15}{4}

\frac{5 \cdot 6}{8 \cdot 1}

Multiply the numbers:

8 \cdot 1 = 8

= \frac{5 \cdot 6}{8}

Factor the number:

6 = 2 \cdot 3

= \frac{5 \cdot 2 \cdot 3}{8}

Factor the number:

8 = 2 \cdot 4

= \frac{5 \cdot 2 \cdot 3}{2 \cdot 4}

Cancel the common factor:

2

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

Multiply the numbers:

5 \cdot 3 = 15

= \frac{15}{4}

= - \frac{15}{4}

= - \frac{15}{4} + 4

Add and subtract (left to right)

- \frac{15}{4} + 4 : \frac{1}{4}

- \frac{15}{4} + 4

- \frac{15}{4} + 4 = \frac{1}{4}

- \frac{15}{4} + 4

Convert element to fraction:

4 = \frac{4 \cdot 4}{4}

= \frac{4 \cdot 4}{4} - \frac{15}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{4 \cdot 4 - 15}{4}

4 \cdot 4 - 15 = 1

4 \cdot 4 - 15

Multiply the numbers:

4 \cdot 4 = 16

= 16 - 15

Subtract the numbers:

16 - 15 = 1

= 1

= \frac{1}{4}

= \frac{1}{4}

= \frac{1}{4}

\frac{2}{3} - (2 \div \frac{4}{5} + \frac{1}{2})

4^{2} - 2 \times 4

- 6 (3)^{2}

2 [32 - (4 - 1)^{3}]

\frac{3}{5} + \frac{2}{7}