Solve for b 35/b=70/100

Math
35b=70100
Cancel the common factor of 70 and 100.
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Factor 10 out of 70.
35b=10(7)100
Cancel the common factors.
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Factor 10 out of 100.
35b=10⋅710⋅10
Cancel the common factor.
35b=10⋅710⋅10
Rewrite the expression.
35b=710
35b=710
35b=710
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.
35⋅10=b⋅7
Solve the equation for b.
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Rewrite the equation as b⋅7=35⋅10.
b⋅7=35⋅10
Multiply 35 by 10.
b⋅7=350
Divide each term by 7 and simplify.
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Divide each term in b⋅7=350 by 7.
b⋅77=3507
Cancel the common factor of 7.
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Cancel the common factor.
b⋅77=3507
Divide b by 1.
b=3507
b=3507
Divide 350 by 7.
b=50
b=50
b=50
Solve for b 35/b=70/100

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