About Simplify Fraction Calculator (Formula)
Certainly! Here’s an explanation of the formula used in the Simplify Fraction Calculator:
The formula for simplifying a fraction is as follows:
X/Y simplifies to A/B
Where:
- X represents the numerator of the fraction.
- Y represents the denominator of the fraction.
- A represents the simplified numerator.
- B represents the simplified denominator.
To simplify the fraction, we divide both the numerator and denominator by their greatest common divisor (GCD). The GCD is the largest number that divides both the numerator and denominator without leaving a remainder.
The simplified fraction can be calculated using the formula:
A/B = X / (GCD(X, Y)) / Y / (GCD(X, Y))
Here’s a step-by-step breakdown of the formula:
- Find the GCD of X and Y using the GCD(X, Y) function.
- Divide X by the GCD(X, Y) to get the simplified numerator A.
- Divide Y by the GCD(X, Y) to get the simplified denominator B.
By simplifying the fraction in this way, we ensure that the numerator and denominator have no common factors other than 1, resulting in the most reduced form of the fraction.
I hope this explanation clarifies the formula used in the Simplify Fraction Calculator!