Simplify 9/120 and 3/8

Publish date: 2024-06-05
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Enter fraction(s) below:

Simplify and Evaluate the following fraction:

First, evaluate the numerator and denominator

The numerator is 9

The denominator is 120

Reduce our fraction

GCF(9 and 120) = 3

Reduce the numerator by GCF

(1/3) x 9 = 3

Reduce the denominator by GCF

(1/3) x 120 = 40

Build our reduced answer

3/40


Convert this fraction number to a mixed number.

Let's find the whole number first.
The formula for this is:

Numerator/Denominator) in whole numbers

Using the fraction you entered of 9/120, let's evaluate:

Whole Number = 9 / 120 = 0.075

Whole Number = Integer(0.075)

Whole Number = 0

Find the fractional portion of the mixed number
(Numerator - Denominator x Whole Number)
Denominator

Using the values we entered and calculated, we get:
Fraction Portion  =  (9 - 120 x 0)
  120

Fraction Portion  =  9 - 0
  120

Fraction Portion  =  9
  120

Combine both pieces for the mixed number:

Mixed Number = Whole Number & fraction Portion

Mixed Number = 0 & 9/120

Write this as a whole number

Whole Number = 0

Final Answer

3/40


What is the Answer?

How does the Fractions and Mixed Numbers Calculator work?

Free Fractions and Mixed Numbers Calculator - Given (improper fractions, proper fraction, mixed numbers, or whole numbers), this performs the following operations:
* Addition (Adding)
* Subtraction (Subtracting)
* Positive Difference (Absolute Value of the Difference)
* Multiplication (Multiplying)
* Division (Dividing: complex fraction division is included)
* Compare Fractions
* Simplifying of proper and improper fractions as well as mixed numbers. Fractions will be reduced down as far as possible (Reducing Fractions).
* Reciprocal of a Fraction
* Find all fractions between two fractions
* reduce a fraction
This calculator has 2 inputs.

What 8 formulas are used for the Fractions and Mixed Numbers Calculator?

a/c + b/c = (a + b)/c
a/c - b/c = (a - b)/c
a/c * b/c = ab/c * c
a/b/c/d = ad/bc
Reciprocal of a/b = b/a


For more math formulas, check out our Formula Dossier

What 10 concepts are covered in the Fractions and Mixed Numbers Calculator?

additionmath operation involving the sum of elementsdenominatorThe bottom portion of a fraction. For a/b, b is the denominatordivisionseparate a number into partsfractionhow many parts of a certain size exist
a/b where a is the numerator and b is the denominatormixed numbera number consisting of an integer and a proper fraction.multiplicationmath operation involving the product of elementsnumeratorthe number above the line in a common fractionreciprocala number which when multiplied by x yields the multiplicative identity, 1simplifyreducing the expression/fraction/problem in a simpler form.subtractionmath operation involving the difference of elements

Example calculations for the Fractions and Mixed Numbers Calculator

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