Solve 165/70 r14 89/87r

Question

Simplify the expression

\frac{14377}{406} r^{2}

Evaluate

\frac{165}{70} r \times 14 \frac{89}{87} \times r

Cancel out the common factor 5

\frac{33}{14} r \times 14 \frac{89}{87} \times r

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

14 \frac{89}{87}

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

\frac{14 \times 87 + 89}{87}

Multiply the terms

\frac{1218 + 89}{87}

Add the terms

\frac{1307}{87}

\frac{33}{14} r \times \frac{1307}{87} r

Multiply the terms

More Steps

Evaluate

\frac{33}{14} \times \frac{1307}{87}

Reduce the numbers

\frac{11}{14} \times \frac{1307}{29}

To multiply the fractions,multiply the numerators and denominators separately

\frac{11 \times 1307}{14 \times 29}

Multiply the numbers

\frac{14377}{14 \times 29}

Multiply the numbers

\frac{14377}{406}

\frac{14377}{406} r \times r

Solution

\frac{14377}{406} r^{2}

Show Solution

r = 0

Evaluate

\frac{165}{70} r \times 14 \frac{89}{87} \times r

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

\frac{165}{70} r \times 14 \frac{89}{87} \times r = 0

Cancel out the common factor 5

\frac{33}{14} r \times 14 \frac{89}{87} \times r = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

14 \frac{89}{87}

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

\frac{14 \times 87 + 89}{87}

Multiply the terms

\frac{1218 + 89}{87}

Add the terms

\frac{1307}{87}

\frac{33}{14} r \times \frac{1307}{87} r = 0

Multiply

More Steps

Multiply the terms

\frac{33}{14} r \times \frac{1307}{87} r

Multiply the terms

More Steps

Evaluate

\frac{33}{14} \times \frac{1307}{87}

Reduce the numbers

\frac{11}{14} \times \frac{1307}{29}

To multiply the fractions,multiply the numerators and denominators separately

\frac{11 \times 1307}{14 \times 29}

Multiply the numbers

\frac{14377}{14 \times 29}

Multiply the numbers

\frac{14377}{406}

\frac{14377}{406} r \times r

Multiply the terms

\frac{14377}{406} r^{2}

\frac{14377}{406} r^{2} = 0

Rewrite the expression

r^{2} = 0

Solution

r = 0

Show Solution