Solve 215/65r16 185/85/r14

Question

Simplify the expression

\frac{13287}{3094}

Alternative Form

4 \frac{911}{3094}

Alternative Form

\approx 4.294441

Evaluate

\frac{215}{65} r \times 16 \frac{185}{85} \div (r \times 14)

Cancel out the common factor 5

\frac{43}{13} r \times 16 \frac{185}{85} \div (r \times 14)

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

16 \frac{185}{85}

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

\frac{16 \times 85 + 185}{85}

Multiply the terms

\frac{1360 + 185}{85}

Add the terms

\frac{1545}{85}

\frac{43}{13} r \times \frac{1545}{85} \div (r \times 14)

Multiply the terms

More Steps

Multiply the terms

\frac{43}{13} r \times \frac{1545}{85}

Multiply the terms

More Steps

Evaluate

\frac{43}{13} \times \frac{1545}{85}

To multiply the fractions,multiply the numerators and denominators separately

\frac{43 \times 1545}{13 \times 85}

Multiply the numbers

\frac{66435}{13 \times 85}

Multiply the numbers

\frac{66435}{1105}

Cancel out the common factor 5

\frac{13287}{221}

\frac{13287}{221} r

\frac{13287}{221} r \div (r \times 14)

Use the commutative property to reorder the terms

\frac{13287}{221} r \div 14 r

Rewrite the expression

\frac{13287 r}{221} \div 14 r

Multiply by the reciprocal

\frac{13287 r}{221} \times \frac{1}{14 r}

Cancel out the common factor r

\frac{13287}{221} \times \frac{1}{14}

Multiply the terms

\frac{13287}{221 \times 14}

Solution

\frac{13287}{3094}

Alternative Form

4 \frac{911}{3094}

Alternative Form

\approx 4.294441

Show Solution

Find the excluded values

r = 0

Evaluate

\frac{215}{65} r \times 16 \frac{185}{85} \div (r \times 14)

To find the excluded values,set the denominators equal to 0

r \times 14 = 0

Use the commutative property to reorder the terms

14 r = 0

Solution

r = 0

Show Solution

Find the roots

r \in \emptyset

Evaluate

\frac{215}{65} r \times 16 \frac{185}{85} \div (r \times 14)

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

\frac{215}{65} r \times 16 \frac{185}{85} \div (r \times 14) = 0

Find the domain

More Steps

Evaluate

r \times 14 \neq = 0

Use the commutative property to reorder the terms

14 r \neq = 0

Rewrite the expression

r \neq = 0

\frac{215}{65} r \times 16 \frac{185}{85} \div (r \times 14) = 0, r \neq = 0

Calculate

\frac{215}{65} r \times 16 \frac{185}{85} \div (r \times 14) = 0

Cancel out the common factor 5

\frac{43}{13} r \times 16 \frac{185}{85} \div (r \times 14) = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

16 \frac{185}{85}

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

\frac{16 \times 85 + 185}{85}

Multiply the terms

\frac{1360 + 185}{85}

Add the terms

\frac{1545}{85}

\frac{43}{13} r \times \frac{1545}{85} \div (r \times 14) = 0

Multiply the terms

More Steps

Multiply the terms

\frac{43}{13} r \times \frac{1545}{85}

Multiply the terms

More Steps

Evaluate

\frac{43}{13} \times \frac{1545}{85}

To multiply the fractions,multiply the numerators and denominators separately

\frac{43 \times 1545}{13 \times 85}

Multiply the numbers

\frac{66435}{13 \times 85}

Multiply the numbers

\frac{66435}{1105}

Cancel out the common factor 5

\frac{13287}{221}

\frac{13287}{221} r

\frac{13287}{221} r \div (r \times 14) = 0

Use the commutative property to reorder the terms

\frac{13287}{221} r \div 14 r = 0

Divide the terms

More Steps

Evaluate

\frac{13287}{221} r \div 14 r

Rewrite the expression

\frac{13287 r}{221} \div 14 r

Multiply by the reciprocal

\frac{13287 r}{221} \times \frac{1}{14 r}

Cancel out the common factor r

\frac{13287}{221} \times \frac{1}{14}

Multiply the terms

\frac{13287}{221 \times 14}

Multiply the terms

\frac{13287}{3094}

\frac{13287}{3094} = 0

Multiply both sides of the equation by LCD

\frac{13287}{3094} \times 3094 = 0 \times 3094

Simplify the equation

13287 = 0 \times 3094

Any expression multiplied by 0 equals 0

13287 = 0

Solution

r \in \emptyset

Show Solution