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Fraction Simplifier

Fraction Simplifier

How to Simplify Fractions

Step 1: Find the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is the largest number that divides both the numerator and denominator without a remainder.

Step 2: Divide Both by the GCD

Once you find the GCD, divide both the numerator and denominator by it to simplify the fraction.

Examples:

Example 1:

Fraction: 8/12

GCD of 8 and 12 is 4

Divide both by 4: (8 ÷ 4) / (12 ÷ 4) = 2/3

So, 8/12 simplifies to 2/3

Example 2:

Fraction: 15/25

GCD of 15 and 25 is 5

Divide both by 5: (15 ÷ 5) / (25 ÷ 5) = 3/5

So, 15/25 simplifies to 3/5

Example 3:

Fraction: 18/24

GCD of 18 and 24 is 6

Divide both by 6: (18 ÷ 6) / (24 ÷ 6) = 3/4

So, 18/24 simplifies to 3/4

Step 3: Check if Further Simplification is Possible

After dividing by the GCD, check if the fraction can be further reduced. If not, the fraction is in its simplest form.

Conclusion

Simplifying fractions makes calculations easier and helps in comparing fractions. Always find the GCD and divide both numbers to get the simplest form.

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