Solve for s 3 1/10*s=6 1/5

Math
3110⋅s=615
Simplify 3110⋅s.
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Convert 3110 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
(3+110)⋅s=615
Add 3 and 110.
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To write 3 as a fraction with a common denominator, multiply by 1010.
(3⋅1010+110)⋅s=615
Combine 3 and 1010.
(3⋅1010+110)⋅s=615
Combine the numerators over the common denominator.
3⋅10+110⋅s=615
Simplify the numerator.
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Multiply 3 by 10.
30+110⋅s=615
Add 30 and 1.
3110⋅s=615
3110⋅s=615
3110⋅s=615
3110⋅s=615
Combine 3110 and s.
31s10=615
31s10=615
Convert 615 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
31s10=6+15
Add 6 and 15.
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To write 6 as a fraction with a common denominator, multiply by 55.
31s10=6⋅55+15
Combine 6 and 55.
31s10=6⋅55+15
Combine the numerators over the common denominator.
31s10=6⋅5+15
Simplify the numerator.
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Multiply 6 by 5.
31s10=30+15
Add 30 and 1.
31s10=315
31s10=315
31s10=315
31s10=315
Multiply both sides of the equation by 1031.
1031⋅31s10=1031⋅315
Simplify both sides of the equation.
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Simplify 1031⋅31s10.
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Cancel the common factor of 10.
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Cancel the common factor.
1031⋅31s10=1031⋅315
Rewrite the expression.
131⋅(31s)=1031⋅315
131⋅(31s)=1031⋅315
Cancel the common factor of 31.
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Factor 31 out of 31s.
131⋅(31(s))=1031⋅315
Cancel the common factor.
131⋅(31s)=1031⋅315
Rewrite the expression.
s=1031⋅315
s=1031⋅315
s=1031⋅315
Simplify 1031⋅315.
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Cancel the common factor of 5.
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Factor 5 out of 10.
s=5(2)31⋅315
Cancel the common factor.
s=5⋅231⋅315
Rewrite the expression.
s=231⋅31
s=231⋅31
Cancel the common factor of 31.
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Cancel the common factor.
s=231⋅31
Rewrite the expression.
s=2
s=2
s=2
s=2
Solve for s 3 1/10*s=6 1/5

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