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What is the definition of reduced fraction?
Where the numerator and denominator have no further common factors
What is the term for a fraction when the denominator and numerator do not have any more factors in common?
It is a fraction in its reduced or simplest from.
How do you tell if a fraction can be reduced?
If the numerator and denominator have any common factors (other than 1), then both the numerator and denominator can be divided by the common factor, and the new fraction will be equivalent to the original fraction in reduced form.
Can 16 over 63 be reduced?
A fraction can be simplified if the numerator and denominator have any common factors. In this case, the factors of the numerator (16) are 2x2x2x2. The factors of the denominator (63) are 3x3x7. There are no common factors. Therefore, the fraction 16/63 is already in its simplest form and cannot be reduced.
How do you reduce fractions using the GCF?
You divide the numerator (top) by the GCF to give you the numerator for the reduced fraction. You divide the denominator (bottom) by the GCF to give you the denominator of the reduced fraction. DONE! For example, 27/45 GCF(27, 45) = 9 Numerator of reduced fraction = 27/9 = 3 Denominator of reduced fraction = 45/9 = 5 So reduced fraction = 3/5
What is the definition of reduced fraction?
Where the numerator and denominator have no further common factors
What is the term for a fraction when the denominator and numerator do not have any more factors in common?
It is a fraction in its reduced or simplest from.
How do you tell if a fraction can be reduced?
If the numerator and denominator have any common factors (other than 1), then both the numerator and denominator can be divided by the common factor, and the new fraction will be equivalent to the original fraction in reduced form.
Can 16 over 63 be reduced?
A fraction can be simplified if the numerator and denominator have any common factors. In this case, the factors of the numerator (16) are 2x2x2x2. The factors of the denominator (63) are 3x3x7. There are no common factors. Therefore, the fraction 16/63 is already in its simplest form and cannot be reduced.
How do you reduce fractions using the GCF?
You divide the numerator (top) by the GCF to give you the numerator for the reduced fraction. You divide the denominator (bottom) by the GCF to give you the denominator of the reduced fraction. DONE! For example, 27/45 GCF(27, 45) = 9 Numerator of reduced fraction = 27/9 = 3 Denominator of reduced fraction = 45/9 = 5 So reduced fraction = 3/5
How do you know if a fraction is simplified?
A fraction is considered simplified or reduced when the numerator and denominator have no common factors other than 1. In other words, there is no integer greater than 1 that divides evenly into both the numerator and the denominator. If there are common factors, the fraction can be simplified further by dividing both the numerator and denominator by their greatest common factor.
When a fraction is reduced to lowest terms the only factor do the numerator and denominator have in common?
When a fraction is reduced to lowest terms, the only factor that the numerator and denominator have in common is 1. For example, the fraction 7/15 is reduced to lowest terms. The factors of 7 are 1 and 7, and the factors of 15 are 1, 3, 5 and 15. The only factor they have in common is 1.
A fraction is reduced to its simplest form when the numerator?
For a fraction to be in its simplest form, numerator and denominator must have no common factor.
When the numerator and denominator have 1 as their only common factor?
then that is your simplest formIt is an irreducible fraction or one in its lowest or simplest form.A fraction that is reduced to lowest terms.If a fraction's numerator and denominator have no factors other than one in common, the fraction cannot be simplified except if the denominator is 1, in which case the fraction can be simplified to the whole number of the numerator.
What does it mean to have a fraction in lowest terms?
When a fraction is in lowest terms, it cannot be reduced any lower because there are no factors common to both the numerator and denominator.
What is a fraction in if its numerator and denominator have a GCF of 1?
A fraction in which the factor of the numerator and the denominator is 1 is known as a reduced, or simplified, fraction.68 is not reduced (or not simplified) because 68 =2⋅32⋅2⋅234 is a reduced, or simplified, fraction: 1⋅31⋅2⋅2
What happens when you multiply the numerator and denominator in a fraction by nine?
You get an equivalent fraction which is not in its reduced (or simplest) form.
