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What is it called when you multiply the numerator and denominator by the same number?

What is it called when you multiply the numerator and denominator by the same number?

If you multiply both the numerator and denominator of a fraction by the same non-zero number, the fraction remains unchanged in value. Therefore, equivalent fractions can be created by multiplying (or dividing) the numerator and denominator by the same number. This number is referred to as a multiplier.

What is a fraction called when the numerator and denominator are the same?

We know from multiplication and division that when you multiply or divide a number by 1 you get the same number. We also know that when you have the same numerator and denominator in a fraction, it always equals 1. The two fractions have the same value and are equivalent.

What word means to multiply in fractions?

cross multiply
intransitive verb. : to clear an equation of fractions when each side consists of a fraction with a single denominator by multiplying the numerator of each side by the denominator of the other side and equating the two products obtained.

What do you call a numerator and denominator?

In arithmetic: Rational numbers. …and n is called the numerator (it enumerates the number of fractional units that are taken). The numerator and denominator together are called the terms of the fraction.

What is it called when denominators are different?

Fractions with different denominators are called, unlike fractions.

What is a synonym for denominator?

Number by which other number is divided. divisor. factor.

What is the meaning of numerator in math?

Definition of numerator 1 : the part of a fraction that is above the line and signifies the number to be divided by the denominator. 2 : one that numbers.

How can I multiply across the numerators and denominators?

Now, I can multiply across the numerators and across the denominators by placing them side by side. At this point, I compare the top and bottom factors and decide which ones can be crossed out. By color-coding the common factors, it is clear which ones to eliminate. x + 1 x + 1 can be canceled out as shown below.

Do you factor numerators before multiplying rational expressions?

Before multiplying, it is helpful to factor the numerators and denominators just as we did when simplifying rational expressions. We are often able to simplify the product of rational expressions.

How to multiply and divide two rational expressions?

How To: Given two rational expressions, divide them 1 Rewrite as the first rational expression multiplied by the reciprocal of the second. 2 Factor the numerators and denominators. 3 Multiply the numerators. 4 Multiply the denominators. 5 Simplify.

Which is the best way to multiply simple fractions?

As you may have learned already, we multiply simple fractions using the steps below. Multiply the numerators. Simplify the “new” fraction by canceling common factors. Most of the time, you will need to expand a number as a product of its factors to identify common factors in the numerator and denominator which can be canceled.