What is (6-65/2)-2(69/4) ?

The solution to (6-65/2)-2(69/4) is -61

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(6-65/2)-2(69/4)

Solution

(6 - \frac{65}{2}) - 2 (\frac{69}{4})

Solution

- 61

Solution steps

(6 - \frac{65}{2}) - 2 (\frac{69}{4})

Follow the PEMDAS order of operations

Calculate within parentheses

(6 - \frac{65}{2}) : - \frac{53}{2}

6 - \frac{65}{2}

6 - \frac{65}{2} = - \frac{53}{2}

6 - \frac{65}{2}

Convert element to fraction:

6 = \frac{6 \cdot 2}{2}

= \frac{6 \cdot 2}{2} - \frac{65}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{6 \cdot 2 - 65}{2}

6 \cdot 2 - 65 = - 53

6 \cdot 2 - 65

Multiply the numbers:

6 \cdot 2 = 12

= 12 - 65

Subtract the numbers:

12 - 65 = - 53

= - 53

= \frac{- 53}{2}

Apply the fraction rule:

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

= - \frac{53}{2}

= - \frac{53}{2}

= - \frac{53}{2} - 2 (\frac{69}{4})

Calculate within parentheses

(\frac{69}{4}) : 17 \frac{1}{4}

\frac{69}{4}

Convert improper fractions to mixed numbers:

\frac{69}{4} = 17 \frac{1}{4}

\frac{69}{4} = 17

Remainder

1

\frac{69}{4}

Write the problem in long division format

4 \overline{∣ 69}

Divide

6

4

to get

1

Divide

6

4

to get

1

1 4 \overline{∣ 69}

Multiply the quotient digit

(1)

by the divisor

4

1 4 \overline{∣ 69} \underline{4}

Subtract

4

from

6

1 4 \overline{∣ 69} \underline{4} 2

Bring down the next number of the dividend

1 4 \overline{∣ 69} \underline{4} 29

1 4 \overline{∣ 69} \underline{4} 29

Divide

29

4

to get

7

Divide

29

4

to get

7

17 4 \overline{∣ 69} \underline{4} 29

Multiply the quotient digit

(7)

by the divisor

4

17 4 \overline{∣ 69} \underline{4} 29 \underline{28}

Subtract

28

from

29

17 4 \overline{∣ 69} \underline{4} 29 \underline{28} 1

17 4 \overline{∣ 69} \underline{4} 29 \underline{28} 1

The solution for Long Division of

\frac{69}{4}

17

with remainder of

1

17 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{69}{4} = 17 \frac{1}{4}

= 17 \frac{1}{4}

= 17 \frac{1}{4}

= - \frac{53}{2} - 217 \frac{1}{4}

Multiply and divide (left to right)

217 \frac{1}{4} : 34.5

217 \frac{1}{4}

217 \frac{1}{4} = 34.5

= 34.5

= - \frac{53}{2} - 34.5

Add and subtract (left to right)

- \frac{53}{2} - 34.5 : - 61

- \frac{53}{2} - 34.5

- \frac{53}{2} - 34.5 = - 61

- \frac{53}{2} - 34.5

Convert element to a decimal form

\frac{53}{2} = 26.5

= - 26.5 - 34.5

Subtract the numbers:

- 26.5 - 34.5 = - 61

= - 61

= - 61

= - 61

Popular Examples

(2^2*3^3)^2

(2^{2} \cdot 3^{3})^{2}

(1+1)^6

(1 + 1)^{6}

3^0+3^1+3^2

3^{0} + 3^{1} + 3^{2}

17-{5-3+[8-(-1-3)+5]}

17 - {5 - 3 + [8 - (- 1 - 3) + 5]}

25\div (15+5)+3/4+2\times 3

25 \div (15 + 5) + \frac{3}{4} + 2 \times 3

Frequently Asked Questions (FAQ)

What is (6-65/2)-2(69/4) ?
The solution to (6-65/2)-2(69/4) is -61