# How do you solve fractions with unknown denominators?

## How do you solve fractions with unknown denominators?

The first step to solving for the unknown numerator or denominator in a fraction is to cross-multiply the numerators and denominators. To cross-multiply, multiply each numerator by the denominator in the opposite fraction. This will create a new equation that is not a fraction and is easier to solve.

How do you get rid of the denominator in a fraction?

Solve equations by clearing the Denominators

1. Find the least common denominator of all the fractions in the equation.
2. Multiply both sides of the equation by that LCD.
3. Isolate the variable terms on one side, and the constant terms on the other side.
4. Simplify both sides.

### How do you find the unknown value?

In calculating a proportion, we need to identify the ratio with the known values and the ratio with one known and one unknown value, making sure the comparative values are in the same places in the ratio. We then use cross multiplication to solve for the unknown.

How do you find the unknown denominator?

How to Find the Missing Denominator of a Fraction

1. Find the amount that the first numerator is multiplied or divided by to get to the numerator that is missing its denominator.
2. Multiply or divide the known denominator by this same amount to find the unknown denominator.

#### What is 3/4 equal to as a fraction?

Decimal and Fraction Conversion Chart

Fraction Equivalent Fractions
2/3 4/6 8/12
1/4 2/8 4/16
3/4 6/8 12/16
1/5 2/10 4/20

How do you rationalize a fraction?

To rationalize the denominator means to eliminate any radical expressions in the denominator such as square roots and cube roots. The key idea is to multiply the original fraction by an appropriate value, such that after simplification, the denominator no longer contains radicals.

## How many equations does it take to solve an unknown?

In order to solve for a given number of unknowns, we require that the same number of equations be provided. For instance, we would require two equations to solve for two unknown quantities. We would require three equations to solve for three unknown quantities, and so on.