Simplifying Fractions Calculator

partake this Answer Link : help oneself Paste this link in electronic mail, textbook or social media. \ [ = 4 \frac { 2 } { 3 } \ ] SolutionConverting to a desegregate numeral using long division with remainders for 14 ÷ 3 \ [ 14 \div 3 = 4 \ ; R2 \ ] Therefore : \ [ \frac { 14 } { 3 } = 4 \frac { 2 } { 3 } \ ]

Calculator Use

Convert improper fractions to mix numbers in simple form. This calculator besides simplifies proper fractions by reducing to lowest terms and showing the function involved.

In order to simplify a fraction there must be :

  1. A number that will divide evenly into both the numerator and denominator so it can be reduced, or
  2. The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number.

What is an Improper Fraction?

An improper fraction is any fraction where the numerator is greater than the denominator. Examples of improper fractions are 16/3, 81/9, 525/71 .

How to Convert an Improper Fraction to a Mixed Number

  1. Divide the numerator by the denominator
  2. Write down the whole number result
  3. Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.

example : Convert the improper fraction 16/3 to a desegregate number .

  1. Divide 16 by 3: 16 ÷ 3 = 5 with remainder of 1
  2. The whole number result is 5
  3. The remainder is 1. With 1 as the numerator and 3 as the denominator, the fraction part of the mixed number is 1/3.
  4. The mixed number is 5 1/3. So 16/3 = 5 1/3.

When potential this calculator inaugural reduces an improper divide to lowest terms before finding the mix count form.

example : Convert the improper fraction 45/10 to a interracial phone number .

  • 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.
  • \ ( \dfrac { 45\div5 } { 10\div5 } = \dfrac { 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
  • The remainder is 1. With 1 as the numerator and 2 as the reduced denominator, the fraction part of the mixed number is 1/2.
  • The mixed number 4 1/2. So 45/10 = 4 1/2.

Related Calculators

For extra explanation of factoring numbers to find the greatest park component ( GCF ) see the Greatest Common Factor Calculator.

If your improper fraction numbers are big you can use the Long Division with Remainders Calculator to find whole number and remainder values when simplifying fractions by hand .
To perform mathematics operations on fractions before you simplify them try our Fractions Calculator. This calculator will besides simplify improper fractions into shuffle numbers .

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