What is 6^3-7/8 6^2+6/3-2 ?

The solution to 6^3-7/8 6^2+6/3-2 is 184 1/2

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Popular Pre Algebra >

6^3-7/8 6^2+6/3-2

Solution

6^{3} - \frac{7}{8} 6^{2} + \frac{6}{3} - 2

Solution

184 \frac{1}{2}

Decimal

184.5

Solution steps

6^{3} - \frac{7}{8} \cdot 6^{2} + \frac{6}{3} - 2

\frac{6}{3} = 2

Divide the numbers:

\frac{6}{3} = 2

2

= 6^{3} - \frac{7}{8} \cdot 6^{2} + 2 - 2

Follow the PEMDAS order of operations

Calculate exponents

6^{3} : 216

6^{3}

6^{3} = 216

= 216

= 216 - \frac{7}{8} \cdot 6^{2} + 2 - 2

Calculate exponents

6^{2} : 36

6^{2}

6^{2} = 36

= 36

= 216 - \frac{7}{8} \cdot 36 + 2 - 2

Multiply and divide (left to right)

\frac{7}{8} \cdot 36 : \frac{63}{2}

\frac{7}{8} \cdot 36

Convert element to fraction:

36 = \frac{36}{1}

= \frac{7}{8} \cdot \frac{36}{1}

Apply the fraction rule:

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

= \frac{7 \cdot 36}{8 \cdot 1}

Cancel

\frac{7 \cdot 36}{8 \cdot 1} : \frac{63}{2}

\frac{7 \cdot 36}{8 \cdot 1}

Multiply the numbers:

8 \cdot 1 = 8

= \frac{7 \cdot 36}{8}

Factor the number:

36 = 4 \cdot 9

= \frac{7 \cdot 4 \cdot 9}{8}

Factor the number:

8 = 4 \cdot 2

= \frac{7 \cdot 4 \cdot 9}{4 \cdot 2}

Cancel the common factor:

4

= \frac{7 \cdot 9}{2}

Multiply the numbers:

7 \cdot 9 = 63

= \frac{63}{2}

= \frac{63}{2}

= 216 - \frac{63}{2} + 2 - 2

Add and subtract (left to right)

216 - \frac{63}{2} + 2 - 2 : \frac{369}{2}

216 - \frac{63}{2} + 2 - 2

216 - \frac{63}{2} = \frac{369}{2}

216 - \frac{63}{2}

Convert element to fraction:

216 = \frac{216 \cdot 2}{2}

= \frac{216 \cdot 2}{2} - \frac{63}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{216 \cdot 2 - 63}{2}

216 \cdot 2 - 63 = 369

216 \cdot 2 - 63

Multiply the numbers:

216 \cdot 2 = 432

= 432 - 63

Subtract the numbers:

432 - 63 = 369

= 369

= \frac{369}{2}

= \frac{369}{2} + 2 - 2

\frac{369}{2} + 2 = \frac{373}{2}

\frac{369}{2} + 2

Convert element to fraction:

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

= \frac{2 \cdot 2}{2} + \frac{369}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{2 \cdot 2 + 369}{2}

2 \cdot 2 + 369 = 373

2 \cdot 2 + 369

Multiply the numbers:

2 \cdot 2 = 4

= 4 + 369

Add the numbers:

4 + 369 = 373

= 373

= \frac{373}{2}

= \frac{373}{2} - 2

\frac{373}{2} - 2 = \frac{369}{2}

\frac{373}{2} - 2

Convert element to fraction:

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

= - \frac{2 \cdot 2}{2} + \frac{373}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{- 2 \cdot 2 + 373}{2}

- 2 \cdot 2 + 373 = 369

- 2 \cdot 2 + 373

Multiply the numbers:

2 \cdot 2 = 4

= - 4 + 373

Add/Subtract the numbers:

- 4 + 373 = 369

= 369

= \frac{369}{2}

= \frac{369}{2}

= \frac{369}{2}

Convert improper fractions to mixed numbers:

\frac{369}{2} = 184 \frac{1}{2}

\frac{369}{2} = 184

Remainder

1

\frac{369}{2}

Write the problem in long division format

2 \overline{∣ 369}

Divide

3

2

to get

1

Divide

3

2

to get

1

1 2 \overline{∣ 369}

Multiply the quotient digit

(1)

by the divisor

2

1 2 \overline{∣ 369} \underline{2}

Subtract

2

from

3

1 2 \overline{∣ 369} \underline{2} 1

Bring down the next number of the dividend

1 2 \overline{∣ 369} \underline{2} 16

1 2 \overline{∣ 369} \underline{2} 16

Divide

16

2

to get

8

Divide

16

2

to get

8

18 2 \overline{∣ 369} \underline{2} 16

Multiply the quotient digit

(8)

by the divisor

2

18 2 \overline{∣ 369} \underline{2} 16 \underline{16}

Subtract

16

from

16

18 2 \overline{∣ 369} \underline{2} 16 \underline{16} 0

Bring down the next number of the dividend

18 2 \overline{∣ 369} \underline{2} 16 \underline{16} 09

18 2 \overline{∣ 369} \underline{2} 16 \underline{16} 09

Divide

9

2

to get

4

Divide

9

2

to get

4

184 2 \overline{∣ 369} \underline{2} 16 \underline{16} 09

Multiply the quotient digit

(4)

by the divisor

2

184 2 \overline{∣ 369} \underline{2} 16 \underline{16} 09 \underline{8}

Subtract

8

from

9

184 2 \overline{∣ 369} \underline{2} 16 \underline{16} 09 \underline{8} 1

184 2 \overline{∣ 369} \underline{2} 16 \underline{16} 09 \underline{8} 1

The solution for Long Division of

\frac{369}{2}

184

with remainder of

1

184 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{369}{2} = 184 \frac{1}{2}

= 184 \frac{1}{2}

= 184 \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is 6^3-7/8 6^2+6/3-2 ?
The solution to 6^3-7/8 6^2+6/3-2 is 184 1/2

6^3-7/8 6^2+6/3-2

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 6^3-7/8 6^2+6/3-2 ?

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