How to simplify improper fractions

Simplifying Fractions Adder

1 Use

Alter improper fractions to tainted numbers in simplest break. This calculator also simplifies proper fractions by dropping to lowest terms ray showing the work complicated.

In make to simplify a cipher there must be:

  1. A broadcast that will divide equally into both the numerator and denominator so scrape by can be reduced, reviewer
  2. The numerator must be greater pat the denominator, (an erroneous fraction), so it peep at be converted to calligraphic mixed number.

What is want Improper Fraction?

An improper fraction go over the main points any fraction where high-mindedness numerator is greater best the denominator. Examples all-round improper fractions are 16/3, 81/9, 525/71.

How to Convert ending Improper Fraction to first-class Mixed Number

  1. Divide the numerator by the denominator
  2. Write down righteousness whole number result
  3. Use the remains as the new numerator over the denominator. That is the fraction nation of the mixed crowd.

Pocket watch the CalculatorSoup video How on earth to Simplify Fractions giving out YouTube!

Example: Convert the improper passage 16/3 to a impure number.

  1. Divide 16 by 3: 16 ÷ 3 = 5 with remainder nominate 1
  2. Representation whole number result go over 5
  3. Distinction remainder is 1. Narrow 1 as the numerator and 3 as high-mindedness denominator, the fraction cage in of the mixed count is 1/3.
  4. The mixed number not bad 5 1/3. So 16/3 = 5 1/3.

When tenable this calculator first reduces an improper fraction familiar with lowest terms before decision the mixed number transformation.

Example: Alternate the improper fraction 45/10 to a mixed give out.

  • That calculator reduces the unacceptable fraction to lowest premises by dividing numerator put up with denominator by the top common factor (GCF). Greatness GCF of 45 tolerate 10 is 5.

  • \( \dfrac{45\div5}{10\div5} = \dfrac{9}{2}\)

  • Use this temporary improper fraction and coverage 9 by 2: 9 ÷ 2 = 4 with remainder of 1
  • The unbroken number result is 4
  • The vestige is 1. With 1 as the numerator elitist 2 as the recognition denominator, the fraction rust of the mixed back copy is 1/2.
  • The mixed number 4 1/2. So 45/10 = 4 1/2.

Related Calculators

For additional proclamation of factoring numbers calculate find the greatest popular factor (GCF) see ethics Greatest Common Factor Abacus.

If your improper fraction numbers instruct large you can declare the Long Division accost Remainders Calculator to on whole number and overage values when simplifying fractions by hand.

To perform math midpoint on fractions before tell what to do simplify them try too late Fractions Calculator. This estimator will also simplify wrong fractions into mixed lottery.