Solve 21 3/4 x 19 1/2 x 1/2

Question

Simplify the expression

\frac{3393}{16} x^{2}

Evaluate

21 \frac{3}{4} \times x \times 19 \frac{1}{2} \times x \times \frac{1}{2}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

21 \frac{3}{4}

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

\frac{21 \times 4 + 3}{4}

Multiply the terms

\frac{84 + 3}{4}

Add the terms

\frac{87}{4}

\frac{87}{4} x \times 19 \frac{1}{2} \times x \times \frac{1}{2}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

19 \frac{1}{2}

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

\frac{19 \times 2 + 1}{2}

Multiply the terms

\frac{38 + 1}{2}

Add the terms

\frac{39}{2}

\frac{87}{4} x \times \frac{39}{2} x \times \frac{1}{2}

Multiply the terms

More Steps

Evaluate

\frac{87}{4} \times \frac{39}{2} \times \frac{1}{2}

Multiply the terms

More Steps

Evaluate

\frac{87}{4} \times \frac{39}{2}

To multiply the fractions,multiply the numerators and denominators separately

\frac{87 \times 39}{4 \times 2}

Multiply the numbers

\frac{3393}{4 \times 2}

Multiply the numbers

\frac{3393}{8}

\frac{3393}{8} \times \frac{1}{2}

To multiply the fractions,multiply the numerators and denominators separately

\frac{3393}{8 \times 2}

Multiply the numbers

\frac{3393}{16}

\frac{3393}{16} x \times x

Solution

\frac{3393}{16} x^{2}

Show Solution

Find the roots

x = 0

Evaluate

21 \frac{3}{4} \times x \times 19 \frac{1}{2} \times x \times \frac{1}{2}

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

21 \frac{3}{4} \times x \times 19 \frac{1}{2} \times x \times \frac{1}{2} = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

21 \frac{3}{4}

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

\frac{21 \times 4 + 3}{4}

Multiply the terms

\frac{84 + 3}{4}

Add the terms

\frac{87}{4}

\frac{87}{4} x \times 19 \frac{1}{2} \times x \times \frac{1}{2} = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

19 \frac{1}{2}

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

\frac{19 \times 2 + 1}{2}

Multiply the terms

\frac{38 + 1}{2}

Add the terms

\frac{39}{2}

\frac{87}{4} x \times \frac{39}{2} x \times \frac{1}{2} = 0

Multiply

More Steps

Multiply the terms

\frac{87}{4} x \times \frac{39}{2} x \times \frac{1}{2}

Multiply the terms

More Steps

Evaluate

\frac{87}{4} \times \frac{39}{2} \times \frac{1}{2}

Multiply the terms

\frac{3393}{8} \times \frac{1}{2}

To multiply the fractions,multiply the numerators and denominators separately

\frac{3393}{8 \times 2}

Multiply the numbers

\frac{3393}{16}

\frac{3393}{16} x \times x

Multiply the terms

\frac{3393}{16} x^{2}

\frac{3393}{16} x^{2} = 0

Rewrite the expression

x^{2} = 0

Solution

x = 0

Show Solution