Solve 4 2/3 -(1/3x (2 1/2 3/4))

Question

Simplify the expression

\frac{14}{3} - \frac{5}{8} x

Evaluate

4 \frac{2}{3} - (\frac{1}{3} x (2 \frac{1}{2} \times \frac{3}{4}))

Remove the parentheses

4 \frac{2}{3} - (\frac{1}{3} x \times 2 \frac{1}{2} \times \frac{3}{4})

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

2 \frac{1}{2}

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

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

Multiply the terms

\frac{4 + 1}{2}

Add the terms

\frac{5}{2}

4 \frac{2}{3} - (\frac{1}{3} x \times \frac{5}{2} \times \frac{3}{4})

Multiply the terms

More Steps

Multiply the terms

\frac{1}{3} x \times \frac{5}{2} \times \frac{3}{4}

Multiply the terms

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Evaluate

\frac{1}{3} \times \frac{5}{2} \times \frac{3}{4}

Reduce the fraction

1 \times \frac{5}{2} \times \frac{1}{4}

Any expression multiplied by 1 remains the same

\frac{5}{2} \times \frac{1}{4}

Multiply the terms

\frac{5}{2 \times 4}

Multiply the terms

\frac{5}{8}

\frac{5}{8} x

4 \frac{2}{3} - \frac{5}{8} x

Solution

More Steps

Convert the expressions

4 \frac{2}{3}

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

\frac{4 \times 3 + 2}{3}

Multiply the terms

\frac{12 + 2}{3}

Add the terms

\frac{14}{3}

\frac{14}{3} - \frac{5}{8} x

Show Solution

Factor the expression

\frac{1}{24} (112 - 15 x)

Evaluate

4 \frac{2}{3} - (\frac{1}{3} x (2 \frac{1}{2} \times \frac{3}{4}))

Remove the parentheses

4 \frac{2}{3} - (\frac{1}{3} x \times 2 \frac{1}{2} \times \frac{3}{4})

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

2 \frac{1}{2}

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

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

Multiply the terms

\frac{4 + 1}{2}

Add the terms

\frac{5}{2}

4 \frac{2}{3} - (\frac{1}{3} x \times \frac{5}{2} \times \frac{3}{4})

Multiply the numbers

More Steps

Evaluate

\frac{5}{2} \times \frac{3}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{5 \times 3}{2 \times 4}

Multiply the numbers

\frac{15}{2 \times 4}

Multiply the numbers

\frac{15}{8}

4 \frac{2}{3} - (\frac{1}{3} x \times \frac{15}{8})

Multiply the terms

More Steps

Multiply the terms

\frac{1}{3} x \times \frac{15}{8}

Multiply the terms

More Steps

Evaluate

\frac{1}{3} \times \frac{15}{8}

Reduce the numbers

1 \times \frac{5}{8}

Multiply the numbers

\frac{5}{8}

\frac{5}{8} x

4 \frac{2}{3} - \frac{5}{8} x

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

4 \frac{2}{3}

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

\frac{4 \times 3 + 2}{3}

Multiply the terms

\frac{12 + 2}{3}

Add the terms

\frac{14}{3}

\frac{14}{3} - \frac{5}{8} x

Solution

\frac{1}{24} (112 - 15 x)

Show Solution

Find the roots

x = \frac{112}{15}

Alternative Form

x = 7.4 \dot{6}

Evaluate

4 \frac{2}{3} - (\frac{1}{3} x (2 \frac{1}{2} \times \frac{3}{4}))

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

4 \frac{2}{3} - (\frac{1}{3} x (2 \frac{1}{2} \times \frac{3}{4})) = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

2 \frac{1}{2}

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

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

Multiply the terms

\frac{4 + 1}{2}

Add the terms

\frac{5}{2}

4 \frac{2}{3} - (\frac{1}{3} x (\frac{5}{2} \times \frac{3}{4})) = 0

Multiply the numbers

More Steps

Evaluate

\frac{5}{2} \times \frac{3}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{5 \times 3}{2 \times 4}

Multiply the numbers

\frac{15}{2 \times 4}

Multiply the numbers

\frac{15}{8}

4 \frac{2}{3} - (\frac{1}{3} x \times \frac{15}{8}) = 0

Multiply the terms

More Steps

Multiply the terms

\frac{1}{3} x \times \frac{15}{8}

Multiply the terms

More Steps

Evaluate

\frac{1}{3} \times \frac{15}{8}

Reduce the numbers

1 \times \frac{5}{8}

Multiply the numbers

\frac{5}{8}

\frac{5}{8} x

4 \frac{2}{3} - \frac{5}{8} x = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

4 \frac{2}{3}

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

\frac{4 \times 3 + 2}{3}

Multiply the terms

\frac{12 + 2}{3}

Add the terms

\frac{14}{3}

\frac{14}{3} - \frac{5}{8} x = 0

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

- \frac{5}{8} x = 0 - \frac{14}{3}

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

- \frac{5}{8} x = - \frac{14}{3}

Change the signs on both sides of the equation

\frac{5}{8} x = \frac{14}{3}

Multiply by the reciprocal

\frac{5}{8} x \times \frac{8}{5} = \frac{14}{3} \times \frac{8}{5}

Multiply

x = \frac{14}{3} \times \frac{8}{5}

Solution

More Steps

Evaluate

\frac{14}{3} \times \frac{8}{5}

To multiply the fractions,multiply the numerators and denominators separately

\frac{14 \times 8}{3 \times 5}

Multiply the numbers

\frac{112}{3 \times 5}

Multiply the numbers

\frac{112}{15}

x = \frac{112}{15}

Alternative Form

x = 7.4 \dot{6}

Show Solution