What is [5700-43(88+12)]\div 2\div (8-2) ?

The solution to [5700-43(88+12)]\div 2\div (8-2) is 116 2/3

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Popular Pre Algebra >

[5700-43(88+12)]\div 2\div (8-2)

Solution

[5700 - 43 (88 + 12)] \div 2 \div (8 - 2)

Solution

116 \frac{2}{3}

Decimal

116.66666 \dots

Solution steps

[5700 - 43 (88 + 12)] \div 2 \div (8 - 2)

Follow the PEMDAS order of operations

Calculate within parentheses

[5700 - 43 (88 + 12)] : 1400

5700 - 43 (88 + 12)

Calculate within parentheses

(88 + 12) : 100

88 + 12

88 + 12 = 100

= 100

= 5700 - 43 \cdot 100

Multiply and divide (left to right)

43 \cdot 100 : 4300

43 \cdot 100

43 \cdot 100 = 4300

= 4300

= 5700 - 4300

Add and subtract (left to right)

5700 - 4300 : 1400

5700 - 4300

5700 - 4300 = 1400

= 1400

= 1400

= 1400 \div 2 \div (8 - 2)

Calculate within parentheses

(8 - 2) : 6

8 - 2

8 - 2 = 6

= 6

= 1400 \div 2 \div 6

Multiply and divide (left to right)

1400 \div 2 \div 6 : \frac{700}{6}

1400 \div 2 \div 6

1400 \div 2 = 700

= 700 \div 6

700 \div 6 = \frac{700}{6}

= \frac{700}{6}

= \frac{700}{6}

Simplify

\frac{700}{6} : 116 \frac{2}{3}

Cancel the common factor:

2

= \frac{350}{3}

Convert improper fractions to mixed numbers:

\frac{350}{3} = 116 \frac{2}{3}

\frac{350}{3} = 116

Remainder

2

\frac{350}{3}

Write the problem in long division format

3 \overline{∣ 350}

Divide

3

3

to get

1

Divide

3

3

to get

1

1 3 \overline{∣ 350}

Multiply the quotient digit

(1)

by the divisor

3

1 3 \overline{∣ 350} \underline{3}

Subtract

3

from

3

1 3 \overline{∣ 350} \underline{3} 0

Bring down the next number of the dividend

1 3 \overline{∣ 350} \underline{3} 05

1 3 \overline{∣ 350} \underline{3} 05

Divide

5

3

to get

1

Divide

5

3

to get

1

11 3 \overline{∣ 350} \underline{3} 05

Multiply the quotient digit

(1)

by the divisor

3

11 3 \overline{∣ 350} \underline{3} 05 \underline{3}

Subtract

3

from

5

11 3 \overline{∣ 350} \underline{3} 05 \underline{3} 2

Bring down the next number of the dividend

11 3 \overline{∣ 350} \underline{3} 05 \underline{3} 20

11 3 \overline{∣ 350} \underline{3} 05 \underline{3} 20

Divide

20

3

to get

6

Divide

20

3

to get

6

116 3 \overline{∣ 350} \underline{3} 05 \underline{3} 20

Multiply the quotient digit

(6)

by the divisor

3

116 3 \overline{∣ 350} \underline{3} 05 \underline{3} 20 \underline{18}

Subtract

18

from

20

116 3 \overline{∣ 350} \underline{3} 05 \underline{3} 20 \underline{18} 2

116 3 \overline{∣ 350} \underline{3} 05 \underline{3} 20 \underline{18} 2

The solution for Long Division of

\frac{350}{3}

116

with remainder of

2

116 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{350}{3} = 116 \frac{2}{3}

= 116 \frac{2}{3}

= 116 \frac{2}{3}

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Frequently Asked Questions (FAQ)

What is [5700-43(88+12)]\div 2\div (8-2) ?
The solution to [5700-43(88+12)]\div 2\div (8-2) is 116 2/3

[5700-43(88+12)]\div 2\div (8-2)

Solution

Solution

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Frequently Asked Questions (FAQ)

What is [5700-43(88+12)]\div 2\div (8-2) ?

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