What is -30(3)+11/2 (49) ?

The solution to -30(3)+11/2 (49) is 179 1/2

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Popular Pre Algebra >

-30(3)+11/2 (49)

Solution

- 30 (3) + \frac{11}{2} (49)

Solution

179 \frac{1}{2}

Decimal

179.5

Solution steps

- 30 (3) + \frac{11}{2} (49)

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- 30 (3) : - 90

- 30 (3)

Apply rule:

(a) = a

(3) = 3

= - 30 \cdot 3

Multiply the numbers:

- 30 \cdot 3 = - 90

= - 90

= - 90 + \frac{11}{2} (49)

Multiply and divide (left to right)

\frac{11}{2} (49) : \frac{539}{2}

\frac{11}{2} (49)

Apply rule:

(a) = a

(49) = 49

= \frac{11}{2} \cdot 49

\frac{11}{2} \cdot 49 = \frac{539}{2}

\frac{11}{2} \cdot 49

Convert element to fraction:

49 = \frac{49}{1}

= \frac{11}{2} \cdot \frac{49}{1}

Apply the fraction rule:

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

= \frac{11 \cdot 49}{2 \cdot 1}

Multiply the numbers:

11 \cdot 49 = 539

= \frac{539}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{539}{2}

= \frac{539}{2}

= - 90 + \frac{539}{2}

Add and subtract (left to right)

- 90 + \frac{539}{2} : \frac{359}{2}

- 90 + \frac{539}{2}

- 90 + \frac{539}{2} = \frac{359}{2}

= \frac{359}{2}

= \frac{359}{2}

Convert improper fractions to mixed numbers:

\frac{359}{2} = 179 \frac{1}{2}

\frac{359}{2} = 179

Remainder

1

\frac{359}{2}

Write the problem in long division format

2 \overline{∣ 359}

Divide

3

2

to get

1

Divide

3

2

to get

1

1 2 \overline{∣ 359}

Multiply the quotient digit

(1)

by the divisor

2

1 2 \overline{∣ 359} \underline{2}

Subtract

2

from

3

1 2 \overline{∣ 359} \underline{2} 1

Bring down the next number of the dividend

1 2 \overline{∣ 359} \underline{2} 15

1 2 \overline{∣ 359} \underline{2} 15

Divide

15

2

to get

7

Divide

15

2

to get

7

17 2 \overline{∣ 359} \underline{2} 15

Multiply the quotient digit

(7)

by the divisor

2

17 2 \overline{∣ 359} \underline{2} 15 \underline{14}

Subtract

14

from

15

17 2 \overline{∣ 359} \underline{2} 15 \underline{14} 1

Bring down the next number of the dividend

17 2 \overline{∣ 359} \underline{2} 15 \underline{14} 19

17 2 \overline{∣ 359} \underline{2} 15 \underline{14} 19

Divide

19

2

to get

9

Divide

19

2

to get

9

179 2 \overline{∣ 359} \underline{2} 15 \underline{14} 19

Multiply the quotient digit

(9)

by the divisor

2

179 2 \overline{∣ 359} \underline{2} 15 \underline{14} 19 \underline{18}

Subtract

18

from

19

179 2 \overline{∣ 359} \underline{2} 15 \underline{14} 19 \underline{18} 1

179 2 \overline{∣ 359} \underline{2} 15 \underline{14} 19 \underline{18} 1

The solution for Long Division of

\frac{359}{2}

179

with remainder of

1

179 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{359}{2} = 179 \frac{1}{2}

= 179 \frac{1}{2}

= 179 \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is -30(3)+11/2 (49) ?
The solution to -30(3)+11/2 (49) is 179 1/2

-30(3)+11/2 (49)

Solution

Solution

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Frequently Asked Questions (FAQ)

What is -30(3)+11/2 (49) ?

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