What is 8 1/2+3\times 7-18 ?

The solution to 8 1/2+3\times 7-18 is 11 1/2

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Popular >

8 1/2+3\times 7-18

Solution

8 \frac{1}{2} + 3 \cdot 7 - 18

Solution

11 \frac{1}{2}

Solution steps

8 \frac{1}{2} + 3 \cdot 7 - 18

Convert mixed numbers to improper fractions:

8 \frac{1}{2} = \frac{17}{2}

8 \frac{1}{2}

Convert mixed numbers to improper fraction:

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

8 \frac{1}{2} = \frac{8 \cdot 2 + 1}{2}

= \frac{17}{2}

= \frac{17}{2} + 3 \cdot 7 - 18

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 \cdot 7 : 21

3 \cdot 7

3 \cdot 7 = 21

= 21

= \frac{17}{2} + 21 - 18

Add and subtract (left to right)

\frac{17}{2} + 21 - 18 : \frac{23}{2}

\frac{17}{2} + 21 - 18

\frac{17}{2} + 21 = \frac{59}{2}

\frac{17}{2} + 21

Convert element to fraction:

21 = \frac{21 \cdot 2}{2}

= \frac{21 \cdot 2}{2} + \frac{17}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{21 \cdot 2 + 17}{2}

21 \cdot 2 + 17 = 59

21 \cdot 2 + 17

Multiply the numbers:

21 \cdot 2 = 42

= 42 + 17

Add the numbers:

42 + 17 = 59

= 59

= \frac{59}{2}

= \frac{59}{2} - 18

\frac{59}{2} - 18 = \frac{23}{2}

\frac{59}{2} - 18

Convert element to fraction:

18 = \frac{18 \cdot 2}{2}

= - \frac{18 \cdot 2}{2} + \frac{59}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{- 18 \cdot 2 + 59}{2}

- 18 \cdot 2 + 59 = 23

- 18 \cdot 2 + 59

Multiply the numbers:

18 \cdot 2 = 36

= - 36 + 59

Add/Subtract the numbers:

- 36 + 59 = 23

= 23

= \frac{23}{2}

= \frac{23}{2}

= \frac{23}{2}

Convert improper fractions to mixed numbers:

\frac{23}{2} = 11 \frac{1}{2}

\frac{23}{2} = 11

Remainder

1

\frac{23}{2}

Write the problem in long division format

2 \overline{∣ 23}

Divide

2

2

to get

1

Divide

2

2

to get

1

1 2 \overline{∣ 23}

Multiply the quotient digit

(1)

by the divisor

2

1 2 \overline{∣ 23} \underline{2}

Subtract

2

from

2

1 2 \overline{∣ 23} \underline{2} 0

Bring down the next number of the dividend

1 2 \overline{∣ 23} \underline{2} 03

1 2 \overline{∣ 23} \underline{2} 03

Divide

3

2

to get

1

Divide

3

2

to get

1

11 2 \overline{∣ 23} \underline{2} 03

Multiply the quotient digit

(1)

by the divisor

2

11 2 \overline{∣ 23} \underline{2} 03 \underline{2}

Subtract

2

from

3

11 2 \overline{∣ 23} \underline{2} 03 \underline{2} 1

11 2 \overline{∣ 23} \underline{2} 03 \underline{2} 1

The solution for Long Division of

\frac{23}{2}

11

with remainder of

1

11 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{23}{2} = 11 \frac{1}{2}

= 11 \frac{1}{2}

= 11 \frac{1}{2}

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9\times 2-((5\times 6-4)-12)

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- 4 (18 \div 2) + (24 \div (4 \times 3))

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7^{2} - 6 \times (- 2)

Frequently Asked Questions (FAQ)

What is 8 1/2+3\times 7-18 ?
The solution to 8 1/2+3\times 7-18 is 11 1/2