What is the difference between simplifying and equivalent fractions?
You can simplify a fraction by dividing the numerator and denominator by the same number. You won’t be able to simplify a fraction if the same number won’t divide into both the numerator and denominator. The simplified fraction and the original fraction are said to be equivalent.
Does equivalent mean simplify?
When two fractions are equivalent, it means they are equal to the same value irrespective of their different numerators and denominators. In other words, when they are simplified they get reduced to the same fraction.
How do you simplify equivalent fractions?
Simplifying a fraction means finding an equivalent fraction where the numbers are reduced as much as possible. For example, if I was given the fraction 6/48 and asked to simplify it, I could divide both numerator and denominator by 2 to make 3/24, I could then divide both numbers by 3 to make 1/8.
What does equivalent mean in math fractions?
An equivalent fraction is a fraction that is the same as another fraction with a different denominator.
How do we simplify fractions?
How to Reduce Fractions
- Write down the factors for the numerator and the denominator.
- Determine the largest factor that is common between the two.
- Divide the numerator and denominator by the greatest common factor.
- Write down the reduced fraction.
What are simplifying fractions?
The word simplify means to make something easier to do or understand. So, reducing or simplifying fractions means we make the fraction as simple as possible. We do this by dividing the numerator and the denominator by the largest number that can divide into both numbers exactly.
How do you explain simplifying fractions?
What does simplest form mean in fractions?
Simplest Form. A fraction is in its simplest form when the numerator and the denominator have no common factors besides one.
What does equivalent mean in fractions?
What are the rules for simplifying fractions?
In order to simplify a fraction there must be: A number that will divide evenly into both the numerator and denominator so it can be reduced, or. The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number.
How do you simplify a mixed number with fractions?
To simplify a mixed number, follow these steps: 1 Leave the whole number part the same. 2 Find the greatest common factor of the numerator and the denominator. 3 Divide the numerator and denominator by the greatest common factor. 4 Write the simplified fraction immediately after the whole number part.
What is a fraction that cannot be simplified called?
This is an example of a fraction that cannot be simplified because there are no common factors other than 1. This type of fraction is said to be in simplest form. Notice that in all of the examples we have looked at so far, the numerator is smaller than the denominator. This type of fraction is called a proper fraction.
How do you simplify improper fractions with long division?
If your improper fraction numbers are large you can use the Long Division with Remainders Calculator to find whole number and remainder values when simplifying fractions by hand. To perform math operations on fractions before you simplify them try our Fractions Calculator.