Fraction Equations - Multiplication and Division

The product of a number and its reciprocal is 1.

For example,
3/4 x 4/3 = 1

If we invert a fraction by switching the numerator and denominator, we form the reciprocal of the fraction.

For example, reciprocal of 3/4 is 4/3

To solve an equation, get the variable alone on one side of the equation

To get the variable alone on one side of the equation, either multiply both sides by the reciprocal of the coefficient of the variable or divide both sides by the coefficient of the variable

Dividing by a number is the same as multiplying by its reciprocal. For example,
(3/4)/(1/2) = (3/4) x (2/1)

To simplify, cancel the common factors.

For example,
(3/4) x (2/1) = (3/2) x (1/1)

To write a fraction in the simplest form, cancel the common factors