Solve 5/6/2005-5 b

Question

Simplify the expression

\frac{1}{2406} - 5 b

Evaluate

\frac{5}{6} \div 2005 - 5 b

Solution

More Steps

Evaluate

\frac{5}{6} \div 2005

Multiply by the reciprocal

\frac{5}{6} \times \frac{1}{2005}

Reduce the numbers

\frac{1}{6} \times \frac{1}{401}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{6 \times 401}

Multiply the numbers

\frac{1}{2406}

\frac{1}{2406} - 5 b

Show Solution

\frac{1}{2406} (1 - 12030 b)

Evaluate

\frac{5}{6} \div 2005 - 5 b

Divide the terms

More Steps

Evaluate

\frac{5}{6} \div 2005

Multiply by the reciprocal

\frac{5}{6} \times \frac{1}{2005}

Reduce the numbers

\frac{1}{6} \times \frac{1}{401}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{6 \times 401}

Multiply the numbers

\frac{1}{2406}

\frac{1}{2406} - 5 b

Solution

\frac{1}{2406} (1 - 12030 b)

Show Solution

b = \frac{1}{12030}

Alternative Form

b \approx 8.312552 \times 1 0^{- 5}

Evaluate

\frac{5}{6} \div 2005 - 5 b

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

\frac{5}{6} \div 2005 - 5 b = 0

Divide the terms

More Steps

Evaluate

\frac{5}{6} \div 2005

Multiply by the reciprocal

\frac{5}{6} \times \frac{1}{2005}

Reduce the numbers

\frac{1}{6} \times \frac{1}{401}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{6 \times 401}

Multiply the numbers

\frac{1}{2406}

\frac{1}{2406} - 5 b = 0

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

- 5 b = 0 - \frac{1}{2406}

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

- 5 b = - \frac{1}{2406}

Change the signs on both sides of the equation

5 b = \frac{1}{2406}

Multiply by the reciprocal

5 b \times \frac{1}{5} = \frac{1}{2406} \times \frac{1}{5}

Multiply

b = \frac{1}{2406} \times \frac{1}{5}

Solution

More Steps

Evaluate

\frac{1}{2406} \times \frac{1}{5}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{2406 \times 5}

Multiply the numbers

\frac{1}{12030}

b = \frac{1}{12030}

Alternative Form

b \approx 8.312552 \times 1 0^{- 5}

Show Solution