Simplify 9/54 In 3 Easy Steps

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Reducing a fraction like 9/54 to its simplest form involves finding the greatest common divisor (GCD) of both the numerator (9) and the denominator (54) and then dividing both by this GCD. Here are the steps to simplify 9/54:

Step 1: Find the Greatest Common Divisor (GCD) of 9 and 54

To simplify the fraction, we first need to find the greatest number that divides both 9 and 54 without leaving a remainder. The factors of 9 are 1, 3, and 9, and the factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54. From these, we can see that the greatest common factor is 9.

Step 2: Divide Both the Numerator and the Denominator by the GCD

Now that we know the GCD is 9, we will divide both the numerator (9) and the denominator (54) by 9 to simplify the fraction.

• Numerator (9) ÷ 9 = 1
• Denominator (54) ÷ 9 = 6

So, the simplified fraction is 1/6.

What Does This Simplification Mean?

Simplifying a fraction makes it easier to understand and work with. In this case, instead of dealing with the original fraction 9/54, we now have the simpler form 1/6. This shows that the original fraction can be reduced to a more straightforward ratio.

Step 3: Understanding the Simplified Fraction

The simplified fraction 1/6 tells us that for every whole unit, we are considering one-sixth of it. This can be visualized by dividing a whole into six equal parts and taking one part. It's a more compact and understandable way to express the original fraction 9/54.

Practical Applications

Simplifying fractions is essential in various mathematical operations and real-life applications, such as cooking, finance, and science. It helps in reducing complexity and making calculations easier.

In conclusion, simplifying the fraction 9/54 to 1/6 in three easy steps involves finding the greatest common divisor and dividing both the numerator and the denominator by this divisor. This process not only simplifies mathematical operations but also aids in understanding and visualizing fractions more effectively.