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Reduce any fraction to its lowest terms (simplest form) with step-by-step solutions using the GCD method.
A fraction is in lowest terms (or simplest form) when the numerator and denominator have no common factors other than 1. This makes the fraction easier to understand and work with.
Example: 12/16 → GCD is 4 → 12÷4/16÷4 = 3/4
Example: 12/16 → ÷2 = 6/8 → ÷2 = 3/4
3/4 is much easier to visualize than 75/100 or 18/24, even though they're all equal.
Working with smaller numbers makes arithmetic faster and reduces errors.
Lowest terms is the standard way to express fractions, making answers consistent and comparable.
Divide by GCD of 2
Divide by GCD of 3
Divide by GCD of 5
Divide by GCD of 12
Lowest terms (also called simplest form) means the numerator and denominator share no common factors except 1. The fraction cannot be reduced any further. For example, 3/4 is in lowest terms, but 6/8 is not because both can be divided by 2.
Yes! These terms are completely interchangeable. Both refer to a fraction where the GCD of the numerator and denominator is 1.
Find the GCD of the numerator and denominator. If the GCD is 1, the fraction is already in lowest terms. For example, 5/7 is in lowest terms because 5 and 7 share no common factors.
Yes! Improper fractions (where numerator > denominator) can be reduced the same way. For example, 10/6 reduces to 5/3. You can also convert to a mixed number: 1 2/3.
If the numerator is 1, the fraction is automatically in lowest terms (unless the denominator is also 1). Fractions like 1/2, 1/3, 1/7 cannot be simplified further.
No, the process is the same. Just find the GCD of the absolute values and divide. By convention, keep the negative sign in the numerator: -3/4, not 3/-4.