\< = 4 \frac23 \>SolutionConverting come a blended number utilizing long department with remainders for 14 ÷ 3.\< 14 \div 3 = 4 \; R2 \>Therefore:\< \frac143= 4 \frac23 \>

## Calculator Use

Convert improper fractions to mixed numbers in simplest form. This calculator also simplifies appropriate fractions by reducing to shortest terms and showing the occupational involved.

You are watching: Write 45 as a fraction in simplest form

In stimulate to simplify a portion there need to be:

A number that will certainly divide evenly into both the numerator and denominator so it deserve to be reduced, or The numerator have to be greater than the denominator, (an wrong fraction), for this reason it have the right to be converted to a blended number.

## What is an not correct Fraction?

An improper portion is any fraction where the molecule is better than the denominator. Examples of improper fractions space 16/3, 81/9, 525/71.

## How to convert an Improper portion to a mixed Number

divide the numerator by the denominator compose down the entirety number an outcome Use the remainder as the brand-new numerator over the denominator. This is the fraction part the the mixed number.

Example: convert the improper portion 16/3 come a combined number.

divide 16 by 3: 16 ÷ 3 = 5 v remainder the 1 The entirety number result is 5 The remainder is 1. Through 1 together the numerator and 3 as the denominator, the fraction part of the blended number is 1/3. The mixed number is 5 1/3. So 16/3 = 5 1/3.

When feasible this calculator first reduces one improper portion to lowest terms before finding the blended number form.

See more: Difference Between Compound Microscope And Dissecting Microscope

Example: transform the improper fraction 45/10 come a combined number.

$$\dfrac45\div510\div5 = \dfrac92$$
usage this lessened improper portion and division 9 through 2: 9 ÷ 2 = 4 with remainder that 2 The totality number an outcome is 4 The remainder is 1. Through 1 together the numerator and also 2 as the reduced denominator, the fraction part the the mixed number is 1/2. The blended number 4 1/2. So 45/10 = 4 1/2.

### Related Calculators

For added explanation the factoring numbers to discover the greatest common factor (GCF) see the Greatest typical Factor Calculator.

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

To carry out math operations on fractions before you leveling them shot our fountain Calculator. This calculator will also simplify wrong fractions into mixed numbers.