Simplify 12/8 In Easy Steps

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Simplifying fractions can be a straightforward process if you understand the basic steps. Here's how to simplify 12/8 in easy steps:

Step 1: Identify the Greatest Common Divisor (GCD)

To simplify a fraction, you need to find the greatest common divisor (GCD) of the numerator (12) and the denominator (8). The GCD is the largest number that divides both 12 and 8 without leaving a remainder.

Factors of 12 and 8

Let's list the factors of 12 and 8:

• Factors of 12: 1, 2, 3, 4, 6, 12
• Factors of 8: 1, 2, 4, 8

Identify the GCD

By comparing the factors, you can see that the largest number that appears in both lists is 4. Therefore, the GCD of 12 and 8 is 4.

Step 2: Divide the Numerator and Denominator by the GCD

To simplify the fraction, divide both the numerator (12) and the denominator (8) by the GCD (4).

• Numerator: 12 ÷ 4 = 3
• Denominator: 8 ÷ 4 = 2

The Simplified Fraction

After dividing both the numerator and the denominator by the GCD, you get the simplified fraction: 3/2.

Additional Tips

Here are some additional tips to keep in mind when simplifying fractions:

• Always find the GCD of the numerator and denominator before simplifying the fraction.
• If the GCD is 1, the fraction is already in its simplest form.
• You can simplify fractions with negative numbers by finding the GCD of the absolute values of the numerator and denominator.

Real-World Applications of Simplifying Fractions

Simplifying fractions is a fundamental skill that has many real-world applications, such as:

• Cooking: When measuring ingredients, you may need to simplify fractions to ensure accurate proportions.
• Building: Architects and engineers use fractions to measure dimensions and calculate quantities of materials.
• Finance: Fractions are used to calculate interest rates, investment returns, and other financial metrics.

Conclusion

Simplifying fractions is a straightforward process that involves finding the greatest common divisor (GCD) of the numerator and denominator and dividing both numbers by the GCD. By following these easy steps, you can simplify fractions with confidence and accuracy.