Solve 4199 1/2 c-91

Question

Simplify the expression

\frac{8399}{2} c - 91

Evaluate

4199 \frac{1}{2} \times c - 91

Solution

More Steps

Evaluate

4199 \frac{1}{2}

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

\frac{4199 \times 2 + 1}{2}

Multiply the terms

\frac{8398 + 1}{2}

Add the terms

\frac{8399}{2}

\frac{8399}{2} c - 91

Show Solution

\frac{1}{2} (8399 c - 182)

Evaluate

4199 \frac{1}{2} \times c - 91

Covert the mixed number to an improper fraction

More Steps

Evaluate

4199 \frac{1}{2}

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

\frac{4199 \times 2 + 1}{2}

Multiply the terms

\frac{8398 + 1}{2}

Add the terms

\frac{8399}{2}

\frac{8399}{2} c - 91

Solution

\frac{1}{2} (8399 c - 182)

Show Solution

c = \frac{182}{8399}

Alternative Form

c \approx 0.021669

Evaluate

4199 \frac{1}{2} \times c - 91

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

4199 \frac{1}{2} \times c - 91 = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

4199 \frac{1}{2}

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

\frac{4199 \times 2 + 1}{2}

Multiply the terms

\frac{8398 + 1}{2}

Add the terms

\frac{8399}{2}

\frac{8399}{2} c - 91 = 0

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

\frac{8399}{2} c = 0 + 91

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

\frac{8399}{2} c = 91

Multiply by the reciprocal

\frac{8399}{2} c \times \frac{2}{8399} = 91 \times \frac{2}{8399}

Multiply

c = 91 \times \frac{2}{8399}

Solution

More Steps

Evaluate

91 \times \frac{2}{8399}

Multiply the numbers

\frac{91 \times 2}{8399}

Multiply the numbers

\frac{182}{8399}

c = \frac{182}{8399}

Alternative Form

c \approx 0.021669

Show Solution