< = 4 frac23 >SolutionConverting to a blended number utilizing long department with remainders because that 14 ÷ 3.

You are watching: 4/10 as a fraction

< 14 div 3 = 4 ; R2 >Therefore:< frac143= 4 frac23 >

Calculator Use

Convert improper fractions to blended numbers in most basic form. This calculator also simplifies appropriate fractions by reduce to shortest terms and showing the work involved.

In bespeak to simplify a fraction there have to be:

A number that will certainly divide evenly right into both the numerator and also denominator so it have the right to be reduced, or The numerator need to be higher than the denominator, (an improper fraction), therefore it can be converted to a combined number.

What is an improper Fraction?

An improper portion is any fraction where the molecule is better than the denominator. Instances of not correct fractions space 16/3, 81/9, 525/71.

How to transform an Improper portion to a blended Number

division the numerator by the denominator create down the entirety number result Use the remainder together the new numerator end the denominator. This is the fraction part the the mixed number.

Example: transform the improper fraction 16/3 to a combined number.

division 16 by 3: 16 ÷ 3 = 5 v remainder that 1 The whole number result is 5 The remainder is 1. V 1 together the numerator and 3 together the denominator, the portion part of the mixed number is 1/3. The blended number is 5 1/3. Therefore 16/3 = 5 1/3.

When possible this calculator first reduces an improper fraction to lowest terms before finding the blended number form.

See more: What Happens If The Discriminant Is Less Than Zero, What Does This Mean?

Example: convert the improper portion 45/10 to a mixed number.

( dfrac45div510div5 = dfrac92)
use this lessened improper fraction and divide 9 through 2: 9 ÷ 2 = 4 through remainder the 2 The whole number an outcome is 4 The remainder is 1. V 1 together the numerator and also 2 as the decreased denominator, the portion part that the combined number is 1/2. The combined number 4 1/2. So 45/10 = 4 1/2.

Related Calculators

For extr explanation of factoring number to discover the greatest usual factor (GCF) watch the Greatest common Factor Calculator.

If your improper portion numbers are big you can use the Long department with Remainders Calculator to find whole number and also remainder values as soon as simplifying fountain by hand.

To execute math work on fractions before you leveling them try our fractions Calculator. This calculator will also simplify improper fractions into mixed numbers.