Fractions are parts of a whole that are expressed as a ratio of two numbers. The larger number is known as the numerator and the smaller number is known as the denominator. When fractions are not expressed in their simplest form, they can be written more simply by expressing them in their simplest form.
What is Simplest Form?
Simplest form is when a fraction is expressed in its most basic form. To do this, the numerator and denominator are divided by their greatest common factor (GCF). The GCF is the largest number that can divide both the numerator and denominator without leaving a remainder. For example, the fraction 16/24 can be simplified to 2/3, because both the numerator and denominator are divisible by 8, which is the GCF.
How to Simplify a Fraction
To simplify a fraction, it is necessary to find the GCF of the numerator and denominator. The GCF of 38 and 53 is 1, so the fraction can not be written more simply. This means 38/53 is already in simplest form. To check this, divide the numerator and denominator by 1. 38/53 divided by 1 is still 38/53. This shows that 38/53 is already written in its simplest form.
Uses of Simplifying Fractions
Simplifying fractions is important for many mathematical processes. When fractions are written in their simplest form, it is easier to compare them to each other and add or subtract them. It also makes it easier to multiply and divide them. Simplifying fractions is also important when solving equations or graphing points on a coordinate plane.
Fractions can be written in their simplest form by dividing the numerator and denominator by their greatest common factor. The fraction 38/53 is already in its simplest form, because the GCF of 38 and 53 is 1. Knowing how to simplify fractions is important for many mathematical processes and can make calculations much easier.
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