# How do you write a fraction in simplest form

No matter what's keeping your fraction from existing in its simplest form, the solution is to remember that you can perform almost any operation on a fraction, as long as you do the same thing to both the numerator and the denominator.

This calculator reduces the improper fraction to lowest terms by dividing numerator and denominator by the greatest common factor GCF. When possible this calculator first reduces an improper fraction to lowest terms before finding the mixed number form. Or, to put it another way, you'll get the same result if you flip that second fraction upside down creating the inverse and multiply by that, which is a much easier operation to perform.

## Reduce the following fraction to simplest form 48/60

An improper fraction is any fraction where the numerator is greater than the denominator. If the numerator and denominator don't share any common factors greater than one, the fraction is in its simplest form. 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. This calculator also simplifies proper fractions by reducing to lowest terms and showing the work involved. The GCF of 45 and 10 is 5. Notes This calculator performs the reducing calculation faster than other calculators you might find. No matter what's keeping your fraction from existing in its simplest form, the solution is to remember that you can perform almost any operation on a fraction, as long as you do the same thing to both the numerator and the denominator. The primary reason is that it utilizes Euclid's Algorithm for reducing fractions, as shown on The Math Forum. Its value hasn't changed; only the way you write it has changed. This calculator reduces the improper fraction to lowest terms by dividing numerator and denominator by the greatest common factor GCF. This is the fraction part of the mixed number. 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. But there are other ways in which a fraction can become complicated.

Because you performed the same operation on both the numerator and the denominator of the fraction, it's still equivalent to the original fraction. The GCF of 45 and 10 is 5. This calculator will also simplify improper fractions into mixed numbers.

List the Common Factors Write out the factors for the numerator of your fraction, then write out the factors for the denominator.

### Simplest form algebra

When possible this calculator first reduces an improper fraction to lowest terms before finding the mixed number form. 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. To perform math operations on fractions before you simplify them try our Fractions Calculator. If the numerator and denominator don't share any common factors greater than one, the fraction is in its simplest form. The primary reason is that it utilizes Euclid's Algorithm for reducing fractions, as shown on The Math Forum. This is the fraction part of the mixed number. How to Convert an Improper Fraction to a Mixed Number Divide the numerator by the denominator Write down the whole number result Use the remainder as the new numerator over the denominator. Simplifying Complex Fractions Another common obstacle you might encounter to writing a fraction in its simplest form is a complex fraction — that is, a fraction that has another fraction in either its numerator or its denominator, or both. Removing Common Factors The most common reason you'll be asked to write a fraction in its simplest form is if both the numerator and the denominator share common factors. 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.

Its value hasn't changed; only the way you write it has changed. This calculator also simplifies proper fractions by reducing to lowest terms and showing the work involved. What is an Improper Fraction?

### How do you write a fraction in simplest form

This is the fraction part of the mixed number. In this case you can't get rid of the square root entirely, but at this stage of math, radicals are usually okay in the numerator but not the denominator. 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. 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. Its value hasn't changed; only the way you write it has changed. How to Convert an Improper Fraction to a Mixed Number Divide the numerator by the denominator Write down the whole number result Use the remainder as the new numerator over the denominator. The primary reason is that it utilizes Euclid's Algorithm for reducing fractions, as shown on The Math Forum. The GCF of 45 and 10 is 5. Notes This calculator performs the reducing calculation faster than other calculators you might find. No matter what's keeping your fraction from existing in its simplest form, the solution is to remember that you can perform almost any operation on a fraction, as long as you do the same thing to both the numerator and the denominator.
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