What is 30-[(+3)-(8)+(+4)\div [45\div 3(-7)]] ?

The solution to 30-[(+3)-(8)+(+4)\div [45\div 3(-7)]] is 35 4/105

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Popular Pre Algebra >

30-[(+3)-(8)+(+4)\div [45\div 3(-7)]]

Solution

30 - [(+ 3) - (8) + (+ 4) \div [45 \div 3 (- 7)]]

Solution

35 \frac{4}{105}

Decimal

35.03809 \dots

Solution steps

30 - [(3) - (8) + (4) \div [45 \div 3 (- 7)]]

Follow the PEMDAS order of operations

Calculate within parentheses

[(3) - (8) + (4) \div [45 \div 3 (- 7)]] : - \frac{529}{105}

(3) - (8) + (4) \div [45 \div 3 (- 7)]

Calculate within parentheses

[45 \div 3 (- 7)] : - 105

45 \div 3 (- 7)

Multiply and divide (left to right)

45 \div 3 = 15

= 15 (- 7)

Apply rule

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

15 (- 7) = - 15 \cdot 7 = - 105

= - 105

= (3) - (8) + (4) \div (- 105)

Multiply and divide (left to right)

(4) \div (- 105) : \frac{( 4 )}{( - 105 )}

(4) \div (- 105)

Apply rule

(a) \div (- b) = - a \div b

(4) \div (- 105) = - 4 \div 105 = \frac{( 4 )}{( - 105 )}

= \frac{( 4 )}{( - 105 )}

= (3) - (8) + \frac{( 4 )}{( - 105 )}

Add and subtract (left to right)

(3) - (8) + \frac{( 4 )}{( - 105 )} : - \frac{529}{105}

(3) - (8) + \frac{( 4 )}{( - 105 )}

(3) - (8) = - 5

= - 5 + \frac{( 4 )}{( - 105 )}

- 5 + \frac{( 4 )}{( - 105 )} = - \frac{529}{105}

- 5 + \frac{4}{- 105}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - 5 - \frac{4}{105}

Convert element to fraction:

5 = \frac{5 \cdot 105}{105}

= - \frac{5 \cdot 105}{105} - \frac{4}{105}

Since the denominators are equal, combine the fractions:

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

= \frac{- 5 \cdot 105 - 4}{105}

- 5 \cdot 105 - 4 = - 529

- 5 \cdot 105 - 4

Multiply the numbers:

5 \cdot 105 = 525

= - 525 - 4

Subtract the numbers:

- 525 - 4 = - 529

= - 529

= \frac{- 529}{105}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{529}{105}

= - \frac{529}{105}

= - \frac{529}{105}

= 30 - (- \frac{529}{105})

Add and subtract (left to right)

30 - (- \frac{529}{105}) : \frac{3679}{105}

30 - (- \frac{529}{105})

Apply rule

- (- a) = + a

- (- \frac{529}{105}) = + \frac{529}{105}

= 30 + \frac{529}{105}

30 + \frac{529}{105} = \frac{3679}{105}

30 + \frac{529}{105}

Convert element to fraction:

30 = \frac{30 \cdot 105}{105}

= \frac{30 \cdot 105}{105} + \frac{529}{105}

Since the denominators are equal, combine the fractions:

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

= \frac{30 \cdot 105 + 529}{105}

30 \cdot 105 + 529 = 3679

30 \cdot 105 + 529

Multiply the numbers:

30 \cdot 105 = 3150

= 3150 + 529

Add the numbers:

3150 + 529 = 3679

= 3679

= \frac{3679}{105}

= \frac{3679}{105}

= \frac{3679}{105}

Convert improper fractions to mixed numbers:

\frac{3679}{105} = 35 \frac{4}{105}

\frac{3679}{105} = 35

Remainder

4

\frac{3679}{105}

Write the problem in long division format

105 \overline{∣ 3679}

Divide

367

105

to get

3

Divide

367

105

to get

3

3 105 \overline{∣ 3679}

Multiply the quotient digit

(3)

by the divisor

105

3 105 \overline{∣ 3679} \underline{315}

Subtract

315

from

367

3 105 \overline{∣ 3679} \underline{315} 52

Bring down the next number of the dividend

3 105 \overline{∣ 3679} \underline{315} 529

3 105 \overline{∣ 3679} \underline{315} 529

Divide

529

105

to get

5

Divide

529

105

to get

5

35 105 \overline{∣ 3679} \underline{315} 529

Multiply the quotient digit

(5)

by the divisor

105

35 105 \overline{∣ 3679} \underline{315} 529 \underline{525}

Subtract

525

from

529

35 105 \overline{∣ 3679} \underline{315} 529 \underline{525} 4

35 105 \overline{∣ 3679} \underline{315} 529 \underline{525} 4

The solution for Long Division of

\frac{3679}{105}

35

with remainder of

4

35 Remainder 4

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{3679}{105} = 35 \frac{4}{105}

= 35 \frac{4}{105}

= 35 \frac{4}{105}

Popular Examples

(10+4)\div (-2)+3

(8× 7+5× (-8))\div (-4)

(-43)+(+20)+(+17)

(-2)^2-(-2)+1

(-2)^2-(-2)-1

Frequently Asked Questions (FAQ)

What is 30-[(+3)-(8)+(+4)\div [45\div 3(-7)]] ?
The solution to 30-[(+3)-(8)+(+4)\div [45\div 3(-7)]] is 35 4/105

30-[(+3)-(8)+(+4)\div [45\div 3(-7)]]

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 30-[(+3)-(8)+(+4)\div [45\div 3(-7)]] ?

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