What is 5+(9\div 8)× (5× 5-6)-8 ?

The solution to 5+(9\div 8)× (5× 5-6)-8 is 18 3/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Pre Algebra >

5+(9\div 8)× (5× 5-6)-8

Solution

5 + (9 \div 8) \times (5 \times 5 - 6) - 8

Solution

18 \frac{3}{8}

Decimal

18.375

Solution steps

5 + (9 \div 8) \times (5 \times 5 - 6) - 8

Follow the PEMDAS order of operations

Calculate within parentheses

(9 \div 8) : \frac{9}{8}

9 \div 8

9 \div 8 = \frac{9}{8}

= \frac{9}{8}

= 5 + \frac{9}{8} \times (5 \times 5 - 6) - 8

Calculate within parentheses

(5 \times 5 - 6) : 19

5 \times 5 - 6

Multiply and divide (left to right)

5 \times 5 : 25

5 \times 5

5 \times 5 = 25

= 25

= 25 - 6

Add and subtract (left to right)

25 - 6 : 19

25 - 6

25 - 6 = 19

= 19

= 19

= 5 + \frac{9}{8} \times 19 - 8

Multiply and divide (left to right)

\frac{9}{8} \times 19 : \frac{171}{8}

\frac{9}{8} \times 19

Convert element to fraction:

19 = \frac{19}{1}

= \frac{9}{8} \cdot \frac{19}{1}

Apply the fraction rule:

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

= \frac{9 \cdot 19}{8 \cdot 1}

Multiply the numbers:

9 \cdot 19 = 171

= \frac{171}{8 \cdot 1}

Multiply the numbers:

8 \cdot 1 = 8

= \frac{171}{8}

= 5 + \frac{171}{8} - 8

Add and subtract (left to right)

5 + \frac{171}{8} - 8 : \frac{147}{8}

5 + \frac{171}{8} - 8

5 + \frac{171}{8} = \frac{211}{8}

5 + \frac{171}{8}

Convert element to fraction:

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

= \frac{5 \cdot 8}{8} + \frac{171}{8}

Since the denominators are equal, combine the fractions:

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

= \frac{5 \cdot 8 + 171}{8}

5 \cdot 8 + 171 = 211

5 \cdot 8 + 171

Multiply the numbers:

5 \cdot 8 = 40

= 40 + 171

Add the numbers:

40 + 171 = 211

= 211

= \frac{211}{8}

= \frac{211}{8} - 8

\frac{211}{8} - 8 = \frac{147}{8}

\frac{211}{8} - 8

Convert element to fraction:

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

= - \frac{8 \cdot 8}{8} + \frac{211}{8}

Since the denominators are equal, combine the fractions:

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

= \frac{- 8 \cdot 8 + 211}{8}

- 8 \cdot 8 + 211 = 147

- 8 \cdot 8 + 211

Multiply the numbers:

8 \cdot 8 = 64

= - 64 + 211

Add/Subtract the numbers:

- 64 + 211 = 147

= 147

= \frac{147}{8}

= \frac{147}{8}

= \frac{147}{8}

Convert improper fractions to mixed numbers:

\frac{147}{8} = 18 \frac{3}{8}

\frac{147}{8} = 18

Remainder

3

\frac{147}{8}

Write the problem in long division format

8 \overline{∣ 147}

Divide

14

8

to get

1

Divide

14

8

to get

1

1 8 \overline{∣ 147}

Multiply the quotient digit

(1)

by the divisor

8

1 8 \overline{∣ 147} \underline{8}

Subtract

8

from

14

1 8 \overline{∣ 147} \underline{8} 6

Bring down the next number of the dividend

1 8 \overline{∣ 147} \underline{8} 67

1 8 \overline{∣ 147} \underline{8} 67

Divide

67

8

to get

8

Divide

67

8

to get

8

18 8 \overline{∣ 147} \underline{8} 67

Multiply the quotient digit

(8)

by the divisor

8

18 8 \overline{∣ 147} \underline{8} 67 \underline{64}

Subtract

64

from

67

18 8 \overline{∣ 147} \underline{8} 67 \underline{64} 3

18 8 \overline{∣ 147} \underline{8} 67 \underline{64} 3

The solution for Long Division of

\frac{147}{8}

18

with remainder of

3

18 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{147}{8} = 18 \frac{3}{8}

= 18 \frac{3}{8}

= 18 \frac{3}{8}

Popular Examples

-9+(-5(-7-(-3-4)+6)-4)

(-43)+(+21)+(-65)+(-4)+(-37)

(13\div 12)-(1\div 6)

(-1)^4-(+8)^2\div (-2)^4

0(1)+1/3

Frequently Asked Questions (FAQ)

What is 5+(9\div 8)× (5× 5-6)-8 ?
The solution to 5+(9\div 8)× (5× 5-6)-8 is 18 3/8

5+(9\div 8)× (5× 5-6)-8

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 5+(9\div 8)× (5× 5-6)-8 ?

Popular topics