Solve 71/2:41/2=x:3/25

$$7 \frac { 1 } { 2 } : 4 \frac { 1 } { 2 } = x : \frac { 3 } { 25 }$$

Solve for x

$$x=\frac{1}{5}=0.2$$

Steps for Solving Linear Equation

Divide \frac{7\times 2+1}{2} by \frac{4\times 2+1}{2} by multiplying \frac{7\times 2+1}{2} by the reciprocal of \frac{4\times 2+1}{2}.

$$\frac{\left(7\times 2+1\right)\times 2}{2\left(4\times 2+1\right)}=\frac{x}{\frac{3}{25}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{1+2\times 7}{1+2\times 4}=\frac{x}{\frac{3}{25}}$$

Multiply 2 and 7 to get 14.

$$\frac{1+14}{1+2\times 4}=\frac{x}{\frac{3}{25}}$$

Add 1 and 14 to get 15.

$$\frac{15}{1+2\times 4}=\frac{x}{\frac{3}{25}}$$

Multiply 2 and 4 to get 8.

$$\frac{15}{1+8}=\frac{x}{\frac{3}{25}}$$

Add 1 and 8 to get 9.

$$\frac{15}{9}=\frac{x}{\frac{3}{25}}$$

Reduce the fraction \frac{15}{9} to lowest terms by extracting and canceling out 3.

$$\frac{5}{3}=\frac{x}{\frac{3}{25}}$$

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

$$\frac{x}{\frac{3}{25}}=\frac{5}{3}$$

Multiply both sides by \frac{3}{25}.

$$x=\frac{5}{3}\times \frac{3}{25}$$

Multiply \frac{5}{3} times \frac{3}{25} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{5\times 3}{3\times 25}$$

Cancel out 3 in both numerator and denominator.

$$x=\frac{5}{25}$$

Reduce the fraction \frac{5}{25} to lowest terms by extracting and canceling out 5.

$$x=\frac{1}{5}$$