Solve 10/8/2009-2009/15316 k

Question

Simplify the expression

\frac{5}{8036} - \frac{287}{2188} k

Evaluate

\frac{10}{8} \div 2009 - \frac{2009}{15316} k

Cancel out the common factor 2

\frac{5}{4} \div 2009 - \frac{2009}{15316} k

Cancel out the common factor 7

\frac{5}{4} \div 2009 - \frac{287}{2188} k

Solution

More Steps

Evaluate

\frac{5}{4} \div 2009

Multiply by the reciprocal

\frac{5}{4} \times \frac{1}{2009}

To multiply the fractions,multiply the numerators and denominators separately

\frac{5}{4 \times 2009}

Multiply the numbers

\frac{5}{8036}

\frac{5}{8036} - \frac{287}{2188} k

Show Solution

\frac{1}{4395692} (2735 - 576583 k)

Evaluate

\frac{10}{8} \div 2009 - \frac{2009}{15316} k

Cancel out the common factor 2

\frac{5}{4} \div 2009 - \frac{2009}{15316} k

Cancel out the common factor 7

\frac{5}{4} \div 2009 - \frac{287}{2188} k

Divide the terms

More Steps

Evaluate

\frac{5}{4} \div 2009

Multiply by the reciprocal

\frac{5}{4} \times \frac{1}{2009}

To multiply the fractions,multiply the numerators and denominators separately

\frac{5}{4 \times 2009}

Multiply the numbers

\frac{5}{8036}

\frac{5}{8036} - \frac{287}{2188} k

Solution

\frac{1}{4395692} (2735 - 576583 k)

Show Solution

k = \frac{2735}{576583}

Alternative Form

k \approx 0.004743

Evaluate

\frac{10}{8} \div 2009 - \frac{2009}{15316} k

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

\frac{10}{8} \div 2009 - \frac{2009}{15316} k = 0

Cancel out the common factor 2

\frac{5}{4} \div 2009 - \frac{2009}{15316} k = 0

Cancel out the common factor 7

\frac{5}{4} \div 2009 - \frac{287}{2188} k = 0

Divide the terms

More Steps

Evaluate

\frac{5}{4} \div 2009

Multiply by the reciprocal

\frac{5}{4} \times \frac{1}{2009}

To multiply the fractions,multiply the numerators and denominators separately

\frac{5}{4 \times 2009}

Multiply the numbers

\frac{5}{8036}

\frac{5}{8036} - \frac{287}{2188} k = 0

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

- \frac{287}{2188} k = 0 - \frac{5}{8036}

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

- \frac{287}{2188} k = - \frac{5}{8036}

Change the signs on both sides of the equation

\frac{287}{2188} k = \frac{5}{8036}

Multiply by the reciprocal

\frac{287}{2188} k \times \frac{2188}{287} = \frac{5}{8036} \times \frac{2188}{287}

Multiply

k = \frac{5}{8036} \times \frac{2188}{287}

Solution

More Steps

Evaluate

\frac{5}{8036} \times \frac{2188}{287}

Reduce the numbers

\frac{5}{2009} \times \frac{547}{287}

To multiply the fractions,multiply the numerators and denominators separately

\frac{5 \times 547}{2009 \times 287}

Multiply the numbers

\frac{2735}{2009 \times 287}

Multiply the numbers

\frac{2735}{576583}

k = \frac{2735}{576583}

Alternative Form

k \approx 0.004743

Show Solution