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Question

\frac{275}{40}\div \left(r\times 17\right)
Simplify the expression
\frac{55}{136r}
Evaluate
\frac{275}{40}\div \left(r\times 17\right)
\text{Cancel out the common factor }5
\frac{55}{8}\div \left(r\times 17\right)
Use the commutative property to reorder the terms
\frac{55}{8}\div 17r
Multiply by the reciprocal
\frac{55}{8}\times \frac{1}{17r}
Multiply the terms
\frac{55}{8\times 17r}
Solution
\frac{55}{136r}
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Find the excluded values
r=0
Evaluate
\frac{275}{40}\div \left(r\times 17\right)
To find the excluded values,set the denominators equal to 0
r\times 17=0
Use the commutative property to reorder the terms
17r=0
Solution
r=0
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Find the roots
r \in \varnothing
Evaluate
\frac{275}{40}\div \left(r\times 17\right)
To find the roots of the expression,set the expression equal to 0
\frac{275}{40}\div \left(r\times 17\right)=0
Find the domain
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Evaluate
r\times 17\neq 0
Use the commutative property to reorder the terms
17r\neq 0
Rewrite the expression
r\neq 0
\frac{275}{40}\div \left(r\times 17\right)=0,r\neq 0
Calculate
\frac{275}{40}\div \left(r\times 17\right)=0
\text{Cancel out the common factor }5
\frac{55}{8}\div \left(r\times 17\right)=0
Use the commutative property to reorder the terms
\frac{55}{8}\div 17r=0
Divide the terms
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Evaluate
\frac{55}{8}\div 17r
Multiply by the reciprocal
\frac{55}{8}\times \frac{1}{17r}
Multiply the terms
\frac{55}{8\times 17r}
Multiply the terms
\frac{55}{136r}
\frac{55}{136r}=0
Cross multiply
55=136r\times 0
Simplify the equation
55=0
Solution
r \in \varnothing
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