Solve (5/6y-1/3) (3/5 1/4y)

Question

Simplify the expression

Solution

\frac{1}{8} y^{2} - \frac{1}{20} y

Evaluate

(\frac{5}{6} y - \frac{1}{3}) (\frac{3}{5} \times \frac{1}{4} y)

Remove the parentheses

(\frac{5}{6} y - \frac{1}{3}) \times \frac{3}{5} \times \frac{1}{4} y

Multiply the terms

More Steps

Evaluate

\frac{3}{5} \times \frac{1}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{3}{5 \times 4}

Multiply the numbers

\frac{3}{20}

(\frac{5}{6} y - \frac{1}{3}) \times \frac{3}{20} y

Multiply the terms

\frac{3}{20} y (\frac{5}{6} y - \frac{1}{3})

Apply the distributive property

\frac{3}{20} y \times \frac{5}{6} y - \frac{3}{20} y \times \frac{1}{3}

Multiply the terms

More Steps

Evaluate

\frac{3}{20} y \times \frac{5}{6} y

Multiply the numbers

More Steps

Evaluate

\frac{3}{20} \times \frac{5}{6}

Reduce the numbers

\frac{1}{20} \times \frac{5}{2}

Reduce the numbers

\frac{1}{4} \times \frac{1}{2}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{4 \times 2}

Multiply the numbers

\frac{1}{8}

\frac{1}{8} y \times y

Multiply the terms

\frac{1}{8} y^{2}

\frac{1}{8} y^{2} - \frac{3}{20} y \times \frac{1}{3}

Solution

More Steps

Evaluate

\frac{3}{20} \times \frac{1}{3}

Reduce the numbers

\frac{1}{20} \times 1

Multiply the numbers

\frac{1}{20}

\frac{1}{8} y^{2} - \frac{1}{20} y

Show Solution

Factor the expression

Factor

\frac{1}{40} y (5 y - 2)

Evaluate

(\frac{5}{6} y - \frac{1}{3}) (\frac{3}{5} \times \frac{1}{4} y)

Remove the parentheses

(\frac{5}{6} y - \frac{1}{3}) \times \frac{3}{5} \times \frac{1}{4} y

Multiply the terms

More Steps

Multiply the terms

\frac{3}{5} \times \frac{1}{4} y

Multiply the terms

More Steps

Evaluate

\frac{3}{5} \times \frac{1}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{3}{5 \times 4}

Multiply the numbers

\frac{3}{20}

\frac{3}{20} y

(\frac{5}{6} y - \frac{1}{3}) \times \frac{3}{20} y

Multiply the terms

\frac{3}{20} y (\frac{5}{6} y - \frac{1}{3})

Factor the expression

\frac{3}{20} y \times \frac{1}{6} (5 y - 2)

Solution

\frac{1}{40} y (5 y - 2)

Show Solution

Find the roots

Find the roots of the algebra expression

y_{1} = 0, y_{2} = \frac{2}{5}

Alternative Form

y_{1} = 0, y_{2} = 0.4

Evaluate

(\frac{5}{6} y - \frac{1}{3}) (\frac{3}{5} \times \frac{1}{4} y)

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

(\frac{5}{6} y - \frac{1}{3}) (\frac{3}{5} \times \frac{1}{4} y) = 0

Multiply the terms

More Steps

Multiply the terms

\frac{3}{5} \times \frac{1}{4} y

Multiply the terms

More Steps

Evaluate

\frac{3}{5} \times \frac{1}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{3}{5 \times 4}

Multiply the numbers

\frac{3}{20}

\frac{3}{20} y

(\frac{5}{6} y - \frac{1}{3}) \times \frac{3}{20} y = 0

Multiply the terms

\frac{3}{20} y (\frac{5}{6} y - \frac{1}{3}) = 0

Elimination the left coefficient

y (\frac{5}{6} y - \frac{1}{3}) = 0

Separate the equation into 2 possible cases

y = 0 \frac{5}{6} y - \frac{1}{3} = 0

Solve the equation

More Steps

Evaluate

\frac{5}{6} y - \frac{1}{3} = 0

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

\frac{5}{6} y = 0 + \frac{1}{3}

Add the terms

\frac{5}{6} y = \frac{1}{3}

Multiply by the reciprocal

\frac{5}{6} y \times \frac{6}{5} = \frac{1}{3} \times \frac{6}{5}

Multiply

y = \frac{1}{3} \times \frac{6}{5}

Multiply

More Steps

Evaluate

\frac{1}{3} \times \frac{6}{5}

Reduce the numbers

1 \times \frac{2}{5}

Multiply the numbers

\frac{2}{5}

y = \frac{2}{5}

y = 0 y = \frac{2}{5}

Solution

y_{1} = 0, y_{2} = \frac{2}{5}

Alternative Form

y_{1} = 0, y_{2} = 0.4

Show Solution

(5/6y 1/3) (3/5 1/4y)

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression