The solution to -7/8+41^5 is 115856200 1/8

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Popular Pre Algebra >

-7/8+41^5

Solution

- \frac{7}{8} + 4 1^{5}

Solution

115856200 \frac{1}{8}

Decimal

115856200.125

Solution steps

- \frac{7}{8} + 4 1^{5}

Follow the PEMDAS order of operations

Calculate exponents

4 1^{5} : 115856201

4 1^{5}

4 1^{5} = 115856201

= 115856201

= - \frac{7}{8} + 115856201

Add and subtract (left to right)

- \frac{7}{8} + 115856201 : \frac{926849601}{8}

- \frac{7}{8} + 115856201

- \frac{7}{8} + 115856201 = \frac{926849601}{8}

- \frac{7}{8} + 115856201

Convert element to fraction:

115856201 = \frac{115856201 \cdot 8}{8}

= \frac{115856201 \cdot 8}{8} - \frac{7}{8}

Since the denominators are equal, combine the fractions:

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

= \frac{115856201 \cdot 8 - 7}{8}

115856201 \cdot 8 - 7 = 926849601

115856201 \cdot 8 - 7

Multiply the numbers:

115856201 \cdot 8 = 926849608

= 926849608 - 7

Subtract the numbers:

926849608 - 7 = 926849601

= 926849601

= \frac{926849601}{8}

= \frac{926849601}{8}

= \frac{926849601}{8}

Convert improper fractions to mixed numbers:

\frac{926849601}{8} = 115856200 \frac{1}{8}

\frac{926849601}{8} = 115856200

Remainder

1

\frac{926849601}{8}

Write the problem in long division format

8 \overline{∣ 926849601}

Divide

9

8

to get

1

Divide

9

8

to get

1

1 8 \overline{∣ 926849601}

Multiply the quotient digit

(1)

by the divisor

8

1 8 \overline{∣ 926849601} \underline{8}

Subtract

8

from

9

1 8 \overline{∣ 926849601} \underline{8} 1

Bring down the next number of the dividend

1 8 \overline{∣ 926849601} \underline{8} 12

1 8 \overline{∣ 926849601} \underline{8} 12

Divide

12

8

to get

1

Divide

12

8

to get

1

11 8 \overline{∣ 926849601} \underline{8} 12

Multiply the quotient digit

(1)

by the divisor

8

11 8 \overline{∣ 926849601} \underline{8} 12 \underline{8}

Subtract

8

from

12

11 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 4

Bring down the next number of the dividend

11 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46

11 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46

Divide

46

8

to get

5

Divide

46

8

to get

5

115 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46

Multiply the quotient digit

(5)

by the divisor

8

115 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40}

Subtract

40

from

46

115 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 6

Bring down the next number of the dividend

115 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68

115 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68

Divide

68

8

to get

8

Divide

68

8

to get

8

1158 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68

Multiply the quotient digit

(8)

by the divisor

8

1158 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64}

Subtract

64

from

68

1158 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 4

Bring down the next number of the dividend

1158 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44

1158 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44

Divide

44

8

to get

5

Divide

44

8

to get

5

11585 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44

Multiply the quotient digit

(5)

by the divisor

8

11585 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40}

Subtract

40

from

44

11585 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 4

Bring down the next number of the dividend

11585 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49

11585 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49

Divide

49

8

to get

6

Divide

49

8

to get

6

115856 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49

Multiply the quotient digit

(6)

by the divisor

8

115856 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49 \underline{48}

Subtract

48

from

49

115856 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49 \underline{48} 1

Bring down the next number of the dividend

115856 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49 \underline{48} 16

115856 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49 \underline{48} 16

Divide

16

8

to get

2

Divide

16

8

to get

2

1158562 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49 \underline{48} 16

Multiply the quotient digit

(2)

by the divisor

8

1158562 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49 \underline{48} 16 \underline{16}

Subtract

16

from

16

1158562 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49 \underline{48} 16 \underline{16} 0

Bring down the next number of the dividend

1158562 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49 \underline{48} 16 \underline{16} 00

1158562 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49 \underline{48} 16 \underline{16} 00

Divide

0

8

to get

0

Divide

0

8

to get

0

11585620 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49 \underline{48} 16 \underline{16} 00

Multiply the quotient digit

(0)

by the divisor

8

11585620 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49 \underline{48} 16 \underline{16} 00 \underline{0}

Subtract

0

from

0

11585620 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49 \underline{48} 16 \underline{16} 00 \underline{0} 0

Bring down the next number of the dividend

11585620 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49 \underline{48} 16 \underline{16} 00 \underline{0} 01

11585620 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49 \underline{48} 16 \underline{16} 00 \underline{0} 01

Divide

1

8

to get

0

Divide

1

8

to get

0

115856200 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49 \underline{48} 16 \underline{16} 00 \underline{0} 01

Multiply the quotient digit

(0)

by the divisor

8

115856200 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49 \underline{48} 16 \underline{16} 00 \underline{0} 01 \underline{0}

Subtract

0

from

1

115856200 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49 \underline{48} 16 \underline{16} 00 \underline{0} 01 \underline{0} 1

115856200 8 \overline{∣ 926849601} \underline{8} 12 \underline{8} 46 \underline{40} 68 \underline{64} 44 \underline{40} 49 \underline{48} 16 \underline{16} 00 \underline{0} 01 \underline{0} 1

The solution for Long Division of

\frac{926849601}{8}

115856200

with remainder of

1

115856200 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{926849601}{8} = 115856200 \frac{1}{8}

= 115856200 \frac{1}{8}

= 115856200 \frac{1}{8}

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What is -7/8+41^5 ?
The solution to -7/8+41^5 is 115856200 1/8

-7/8+41^5

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