Solve 13 1/2*15-k

Question

Simplify the expression

\frac{405}{2} - k

Evaluate

13 \frac{1}{2} \times 15 - k

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

13 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{13 \times 2 + 1}{2}

Multiply the terms

\frac{26 + 1}{2}

Add the terms

\frac{27}{2}

\frac{27}{2} \times 15 - k

Solution

More Steps

Evaluate

\frac{27}{2} \times 15

Multiply the numbers

\frac{27 \times 15}{2}

Multiply the numbers

\frac{405}{2}

\frac{405}{2} - k

Show Solution

Factor the expression

\frac{1}{2} (405 - 2 k)

Evaluate

13 \frac{1}{2} \times 15 - k

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

13 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{13 \times 2 + 1}{2}

Multiply the terms

\frac{26 + 1}{2}

Add the terms

\frac{27}{2}

\frac{27}{2} \times 15 - k

Multiply the numbers

More Steps

Evaluate

\frac{27}{2} \times 15

Multiply the numbers

\frac{27 \times 15}{2}

Multiply the numbers

\frac{405}{2}

\frac{405}{2} - k

Solution

\frac{1}{2} (405 - 2 k)

Show Solution

Find the roots

k = \frac{405}{2}

Alternative Form

k = 202.5

Evaluate

13 \frac{1}{2} \times 15 - k

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

13 \frac{1}{2} \times 15 - k = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

13 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{13 \times 2 + 1}{2}

Multiply the terms

\frac{26 + 1}{2}

Add the terms

\frac{27}{2}

\frac{27}{2} \times 15 - k = 0

Multiply the numbers

More Steps

Evaluate

\frac{27}{2} \times 15

Multiply the numbers

\frac{27 \times 15}{2}

Multiply the numbers

\frac{405}{2}

\frac{405}{2} - k = 0

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

- k = 0 - \frac{405}{2}

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

- k = - \frac{405}{2}

Solution

k = \frac{405}{2}

Alternative Form

k = 202.5

Show Solution