# Solve for b 70/b=35/100

70b=35100
Cancel the common factor of 35 and 100.
Factor 5 out of 35.
70b=5(7)100
Cancel the common factors.
Factor 5 out of 100.
70b=5⋅75⋅20
Cancel the common factor.
70b=5⋅75⋅20
Rewrite the expression.
70b=720
70b=720
70b=720
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
70⋅20=b⋅7
Solve the equation for b.
Rewrite the equation as b⋅7=70⋅20.
b⋅7=70⋅20
Multiply 70 by 20.
b⋅7=1400
Divide each term by 7 and simplify.
Divide each term in b⋅7=1400 by 7.
b⋅77=14007
Cancel the common factor of 7.
Cancel the common factor.
b⋅77=14007
Divide b by 1.
b=14007
b=14007
Divide 1400 by 7.
b=200
b=200
b=200
Solve for b 70/b=35/100

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