How do you reduce a fraction into simplest form?

Reducing Fractions (Simplest Form) To reduce a fraction, divide both the numerator and denominator by the GCF. (This is also known as “writing a fraction in lowest terms”.) This is sometimes shown as “canceling” the common factors. Note that the result is an equivalent fraction in simplest form.

How do you reduce a fraction with a larger numerator?

An improper fraction is a fraction that has a larger numerator than denominator. Divide the numerator by the denominator. Remember that the fraction bar can be interpreted as a division symbol. To simplify an improper fraction, you must turn it into a mixed number, which includes a whole number and a fraction together.

What is the rule for reducing fractions?

To reduce a fraction, find a number by which both the numerator and denominator can be divided. The number can be divided by 2 and 3 1980 1980 can be divided evenly by 2 and 3; therefore, it is divisible by 6. Always try dividing by numerator. Example: In 51 17 , both numerator and denominator can be divided by 17.

What do I do if my numerator is larger than my denominator?

Explanation: A fraction with a numerator that is greater than or equal to the denominator is known as an improper fraction. It represents a number greater than or equal to one.

What is the first step in reducing fractions to lowest terms?

The first step is to identify a common factor of the denominator and numerator. The denominator and numerator are both divided by the common factor. The division operation is repeated until there are no more factors. The fraction is said to be simplified if no more factors exit.

How are rationals simplified?

Just like a fraction is considered simplified if there are no common factors, other than 1, in its numerator and denominator, a rational expression is simplified if it has no common factors, other than 1, in its numerator and denominator.

How do you reduce a fraction with a calculator?

Enter your numerator and denominator into the boxes above, then click the “Reduce Fraction” button. The calculator will divide both the numerator and the denominator by their Greatest Common Factor (GCF) and reduce it to its lowest term.

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.

What is the reduced improper fraction of 45 and 10?

This calculator reduces the improper fraction to lowest terms by dividing numerator and denominator by the greatest common factor ( GCF ). The GCF of 45 and 10 is 5. 45 ÷ 5 10 ÷ 5 = 9 2. Use this reduced improper fraction and divide 9 by 2: 9 ÷ 2 = 4 with remainder of 2. The whole number result is 4.

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.