Solve a=1.75/1.1*b

$$a = \frac { 1.75 } { 1.1 } \times b$$

Solve for a

$$a=\frac{35b}{22}$$

Solution Steps

Expand \frac{1.75}{1.1} by multiplying both numerator and the denominator by 100.

$$a=\frac{175}{110}b$$

Reduce the fraction \frac{175}{110} to lowest terms by extracting and canceling out 5.

$$a=\frac{35}{22}b$$

Solve for b

$$b=\frac{22a}{35}$$

Steps for Solving Linear Equation

Expand \frac{1.75}{1.1} by multiplying both numerator and the denominator by 100.

$$a=\frac{175}{110}b$$

Reduce the fraction \frac{175}{110} to lowest terms by extracting and canceling out 5.

$$a=\frac{35}{22}b$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{35}{22}b=a$$

Divide both sides of the equation by \frac{35}{22}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{35}{22}b}{\frac{35}{22}}=\frac{a}{\frac{35}{22}}$$

Dividing by \frac{35}{22} undoes the multiplication by \frac{35}{22}.

$$b=\frac{a}{\frac{35}{22}}$$

Divide a by \frac{35}{22} by multiplying a by the reciprocal of \frac{35}{22}.

$$b=\frac{22a}{35}$$