Solve 5x(2 1/4/-2/3 4 1/2)

Question

Simplify the expression

- \frac{1215}{16} x

Evaluate

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

Remove the parentheses

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

Use the rules for multiplication and division

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

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

2 \frac{1}{4}

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

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

Multiply the terms

\frac{8 + 1}{4}

Add the terms

\frac{9}{4}

5 x (- \frac{9}{4} \div \frac{2}{3}) \times 4 \frac{1}{2}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

4 \frac{1}{2}

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

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

Multiply the terms

\frac{8 + 1}{2}

Add the terms

\frac{9}{2}

5 x (- \frac{9}{4} \div \frac{2}{3}) \times \frac{9}{2}

Divide the terms

More Steps

Evaluate

\frac{9}{4} \div \frac{2}{3}

Multiply by the reciprocal

\frac{9}{4} \times \frac{3}{2}

To multiply the fractions,multiply the numerators and denominators separately

\frac{9 \times 3}{4 \times 2}

Multiply the numbers

\frac{27}{4 \times 2}

Multiply the numbers

\frac{27}{8}

5 x (- \frac{27}{8}) \times \frac{9}{2}

Rewrite the expression

- 5 x \times \frac{27}{8} \times \frac{9}{2}

Solution

More Steps

Evaluate

5 \times \frac{27}{8} \times \frac{9}{2}

Multiply the terms

More Steps

Evaluate

5 \times \frac{27}{8}

Multiply the numbers

\frac{5 \times 27}{8}

Multiply the numbers

\frac{135}{8}

\frac{135}{8} \times \frac{9}{2}

To multiply the fractions,multiply the numerators and denominators separately

\frac{135 \times 9}{8 \times 2}

Multiply the numbers

\frac{1215}{8 \times 2}

Multiply the numbers

\frac{1215}{16}

- \frac{1215}{16} x

Show Solution

Find the roots

x = 0

Evaluate

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

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

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

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

2 \frac{1}{4}

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

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

Multiply the terms

\frac{8 + 1}{4}

Add the terms

\frac{9}{4}

5 x (\frac{9}{4} \div (- \frac{2}{3}) \times 4 \frac{1}{2}) = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

4 \frac{1}{2}

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

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

Multiply the terms

\frac{8 + 1}{2}

Add the terms

\frac{9}{2}

5 x (\frac{9}{4} \div (- \frac{2}{3}) \times \frac{9}{2}) = 0

Divide the terms

More Steps

Evaluate

\frac{9}{4} \div (- \frac{2}{3})

Multiply by the reciprocal

\frac{9}{4} (- \frac{3}{2})

Multiplying or dividing an odd number of negative terms equals a negative

- \frac{9}{4} \times \frac{3}{2}

To multiply the fractions,multiply the numerators and denominators separately

- \frac{9 \times 3}{4 \times 2}

Multiply the numbers

- \frac{27}{4 \times 2}

Multiply the numbers

- \frac{27}{8}

5 x (- \frac{27}{8} \times \frac{9}{2}) = 0

Multiply the numbers

More Steps

Evaluate

- \frac{27}{8} \times \frac{9}{2}

To multiply the fractions,multiply the numerators and denominators separately

- \frac{27 \times 9}{8 \times 2}

Multiply the numbers

- \frac{243}{8 \times 2}

Multiply the numbers

- \frac{243}{16}

5 x (- \frac{243}{16}) = 0

Multiply

More Steps

Multiply the terms

5 x (- \frac{243}{16})

Rewrite the expression

- 5 x \times \frac{243}{16}

Multiply the terms

More Steps

Evaluate

5 \times \frac{243}{16}

Multiply the numbers

\frac{5 \times 243}{16}

Multiply the numbers

\frac{1215}{16}

- \frac{1215}{16} x

- \frac{1215}{16} x = 0

Change the signs on both sides of the equation

\frac{1215}{16} x = 0

Solution

x = 0

Show Solution