Solve 114s-5 ½ - ScanMath

Question

Simplify the expression

114 s - \frac{11}{2}

Evaluate

114 s - 5 \frac{1}{2}

Solution

More Steps

Evaluate

5 \frac{1}{2}

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

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

Multiply the terms

\frac{10 + 1}{2}

Add the terms

\frac{11}{2}

114 s - \frac{11}{2}

Show Solution

\frac{1}{2} (228 s - 11)

Evaluate

114 s - 5 \frac{1}{2}

Covert the mixed number to an improper fraction

More Steps

Evaluate

5 \frac{1}{2}

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

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

Multiply the terms

\frac{10 + 1}{2}

Add the terms

\frac{11}{2}

114 s - \frac{11}{2}

Solution

\frac{1}{2} (228 s - 11)

Show Solution

s = \frac{11}{228}

Alternative Form

s \approx 0.048246

Evaluate

114 s - 5 \frac{1}{2}

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

114 s - 5 \frac{1}{2} = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

5 \frac{1}{2}

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

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

Multiply the terms

\frac{10 + 1}{2}

Add the terms

\frac{11}{2}

114 s - \frac{11}{2} = 0

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

114 s = 0 + \frac{11}{2}

Add the terms

114 s = \frac{11}{2}

Multiply by the reciprocal

114 s \times \frac{1}{114} = \frac{11}{2} \times \frac{1}{114}

Multiply

s = \frac{11}{2} \times \frac{1}{114}

Solution

More Steps

Evaluate

\frac{11}{2} \times \frac{1}{114}

To multiply the fractions,multiply the numerators and denominators separately

\frac{11}{2 \times 114}

Multiply the numbers

\frac{11}{228}

s = \frac{11}{228}

Alternative Form

s \approx 0.048246

Show Solution