3 Ways To Express 825 As A Fraction

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3 Ways To Express 825 As A Fraction

The number 825 can be expressed as a fraction in several ways. In this article, we will explore three different methods to represent 825 as a fraction.

Method 1: Divide by 1

One way to express 825 as a fraction is to divide it by 1. This may seem simple, but it is a valid way to represent the number as a fraction.

825 ÷ 1 = 825/1

So, the first way to express 825 as a fraction is 825/1.

Method 2: Find the Greatest Common Divisor (GCD)

Another way to express 825 as a fraction is to find the greatest common divisor (GCD) of 825 and a number that divides evenly into 825. In this case, we can use the number 25, since 25 × 33 = 825.

GCD(825, 25) = 25

So, we can express 825 as a fraction with a denominator of 25:

825 ÷ 25 = 33

Therefore, the second way to express 825 as a fraction is 33/25.

Method 3: Use Prime Factorization

A third way to express 825 as a fraction is to use prime factorization. We can factor 825 into its prime factors:

825 = 3 × 5 × 5 × 11

Now, we can express 825 as a fraction with a denominator that is a product of these prime factors:

825 ÷ (3 × 5 × 5 × 11) = 1

So, the third way to express 825 as a fraction is 1/(3 × 5 × 5 × 11).

In conclusion, there are multiple ways to express 825 as a fraction. By using different methods, such as dividing by 1, finding the greatest common divisor, or using prime factorization, we can represent the number 825 in various fractional forms.