Solve -1/2(1/3w-61/2)

Question

Simplify the expression

- \frac{1}{6} w + \frac{61}{4}

Evaluate

- \frac{1}{2} (\frac{1}{3} w - \frac{61}{2})

Multiply the terms

More Steps

Evaluate

\frac{1}{2} (\frac{1}{3} w - \frac{61}{2})

Apply the distributive property

\frac{1}{2} \times \frac{1}{3} w - \frac{1}{2} \times \frac{61}{2}

Multiply the numbers

More Steps

Evaluate

\frac{1}{2} \times \frac{1}{3}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{2 \times 3}

Multiply the numbers

\frac{1}{6}

\frac{1}{6} w - \frac{1}{2} \times \frac{61}{2}

Multiply the numbers

More Steps

Evaluate

\frac{1}{2} \times \frac{61}{2}

To multiply the fractions,multiply the numerators and denominators separately

\frac{61}{2 \times 2}

Multiply the numbers

\frac{61}{4}

\frac{1}{6} w - \frac{61}{4}

- (\frac{1}{6} w - \frac{61}{4})

Solution

- \frac{1}{6} w + \frac{61}{4}

Show Solution

Factor the expression

- \frac{1}{12} (2 w - 183)

Evaluate

- \frac{1}{2} (\frac{1}{3} w - \frac{61}{2})

Factor the expression

- \frac{1}{2} \times \frac{1}{6} (2 w - 183)

Solution

- \frac{1}{12} (2 w - 183)

Show Solution

Find the roots

w = \frac{183}{2}

Alternative Form

w = 91.5

Evaluate

- \frac{1}{2} (\frac{1}{3} w - \frac{61}{2})

To find the roots of the expression,set the expression equal to 0

- \frac{1}{2} (\frac{1}{3} w - \frac{61}{2}) = 0

Multiply the terms

More Steps

Evaluate

\frac{1}{2} (\frac{1}{3} w - \frac{61}{2})

Apply the distributive property

\frac{1}{2} \times \frac{1}{3} w - \frac{1}{2} \times \frac{61}{2}

Multiply the numbers

More Steps

Evaluate

\frac{1}{2} \times \frac{1}{3}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{2 \times 3}

Multiply the numbers

\frac{1}{6}

\frac{1}{6} w - \frac{1}{2} \times \frac{61}{2}

Multiply the numbers

More Steps

Evaluate

\frac{1}{2} \times \frac{61}{2}

To multiply the fractions,multiply the numerators and denominators separately

\frac{61}{2 \times 2}

Multiply the numbers

\frac{61}{4}

\frac{1}{6} w - \frac{61}{4}

- (\frac{1}{6} w - \frac{61}{4}) = 0

Calculate

- \frac{1}{6} w + \frac{61}{4} = 0

Move the constant to the right-hand side and change its sign

- \frac{1}{6} w = 0 - \frac{61}{4}

Removing 0 doesn't change the value,so remove it from the expression

- \frac{1}{6} w = - \frac{61}{4}

Change the signs on both sides of the equation

\frac{1}{6} w = \frac{61}{4}

Multiply by the reciprocal

\frac{1}{6} w \times 6 = \frac{61}{4} \times 6

Multiply

w = \frac{61}{4} \times 6

Solution

More Steps

Evaluate

\frac{61}{4} \times 6

Reduce the numbers

\frac{61}{2} \times 3

Multiply the numbers

\frac{61 \times 3}{2}

Multiply the numbers

\frac{183}{2}

w = \frac{183}{2}

Alternative Form

w = 91.5

Show Solution