To find the lowest term of the fraction 5/25, divide both the numerator and the denominator by their greatest common divisor. The greatest common divisor of 5 and 25 is 5. Dividing 5 by 5 results in 1, and dividing 25 by 5 results in 5. Thus, the fraction 5/25 simplifies to its lowest term, which is 1/5.
To simplify 10/15, find the greatest common divisor (GCD) of 10 and 15. The numbers 10 and 15 share 5 as their largest common factor. Divide the numerator (10) by 5, yielding 2. Divide the denominator (15) by 5, yielding 3. The simplified fraction in its lowest terms is 2/3. This method ensures the fraction...
A fraction is in its lowest terms when its numerator and denominator share no common factors beyond 1. This means the fraction cannot be simplified any further by dividing both parts by a common number. For example, 1/2 is in its lowest terms. However, 2/4 is not, as both 2 and 4 can be divided...
To simplify a fraction, first find the greatest common divisor (GCD) of its numerator and denominator. Once the GCD is identified, divide both the numerator and denominator by this GCD. The resulting fraction will be in its lowest terms. This approach ensures the fraction is fully reduced and presented concisely for clarity.
Simplifying fractions makes them easier to understand, compare, and work with in calculations. It provides the most concise representation of a fractional value. Reduced fractions prevent unnecessary complexity in equations, ensuring answers are presented in a standard, recognized format. This practice is fundamental in mathematics for efficiency and clarity.
To simplify 12/18, find the greatest common divisor (GCD) of 12 and 18. The GCD of these two numbers is 6. Divide the numerator (12) by 6, resulting in 2. Divide the denominator (18) by 6, resulting in 3. The simplified form of 12/18 in its lowest terms is 2/3. This method ensures maximum reduction.
To simplify 75/10, first find the greatest common divisor (GCD) of 75 and 10. The GCD for these numbers is 5. Divide 75 by 5, yielding 15. Divide 10 by 5, yielding 2. The lowest term is 15/2. This improper fraction can also be expressed as a mixed number, 7 and 1/2.
A fraction like 4/6 can be simplified further because its numerator (4) and denominator (6) share a common factor greater than 1. Both numbers are divisible by 2. Dividing 4 by 2 yields 2, and dividing 6 by 2 yields 3. The simplified fraction is 2/3, which is in its lowest terms. This aids in...
A common factor in simplifying fractions is a number that divides evenly into both the numerator and the denominator. For example, when simplifying 6/9, the factors for 6 are 1, 2, 3, 6, and for 9 are 1, 3, 9. Common factors are 1 and 3. The greatest common factor (GCF) ensures full simplification.
The greatest common divisor (GCD) is crucial for simplifying a fraction to its lowest terms. It is the largest number by which both numerator and denominator can be divided without a remainder. Dividing both parts by their GCD ensures the resulting fraction is in its most reduced form, sharing no common factors besides one.
To simplify the fraction 5/25, find the greatest common factor (GCF) of both the numerator and the denominator. For 5 and 25, the GCF is 5. Divide both the numerator (5) and the denominator (25) by their GCF, which is 5. This results in 5 ÷ 5 = 1 and 25 ÷ 5 = 5....