70b=35100

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

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