Solve 25/100=0.25quadtext{(c)}5/100=

$$\frac { 25 } { 100 } = 0.25 \quad \text { (c) } \frac { 5 } { 100 } =$$

Solve for c

$$c=20$$

Steps for Solving Linear Equation

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{4}=0.25c\times \frac{5}{100}$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{1}{4}=0.25c\times \frac{1}{20}$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{4}=\frac{1}{4}c\times \frac{1}{20}$$

Multiply \frac{1}{4} times \frac{1}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{4}=\frac{1\times 1}{4\times 20}c$$

Do the multiplications in the fraction \frac{1\times 1}{4\times 20}.

$$\frac{1}{4}=\frac{1}{80}c$$

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

$$\frac{1}{80}c=\frac{1}{4}$$

Multiply both sides by 80, the reciprocal of \frac{1}{80}.

$$c=\frac{1}{4}\times 80$$

Multiply \frac{1}{4} and 80 to get \frac{80}{4}.

$$c=\frac{80}{4}$$

Divide 80 by 4 to get 20.

$$c=20$$