Enter fraction(s) below:



                 

Simplify and Evaluate the following fraction:

1200
5

First, evaluate the numerator and denominator

The numerator is 1200

The denominator is 5

Reduce our fraction

GCF(1200 and 5) = 5

Reduce the numerator by GCF

(1/5) x 1200 = 240

Reduce the denominator by GCF

(1/5) x 5 = 1

Build our reduced answer

240
1

Simplify the improper fraction:

Determine the integer of Numerator ÷ Denominator

Integer = 240 ÷ 1 = 240

Remainder = 240 - 240(1)

Remainder = 240 - 240

Remainder = 0

Build mixed fraction:

Integer & Remainder ÷ Original Denominator

240 & 0/1

Since our denominator is = 1, we simplify and just show the numerator as our answer → 240


240/1


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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 1200/5, let's evaluate:

Whole Number = 1200 / 5 = 240

Whole Number = Integer(240)

Whole Number = 240

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  =  (1200 - 5 x 240)
  5

Fraction Portion  =  1200 - 1200
  5

Fraction Portion  =  0
  5

Combine both pieces for the mixed number:

Mixed Number = Whole Number & fraction Portion

Mixed Number = 240 & 0/5

Mixed Number can also be written as 240 and 0/5

Write this as a whole number

Whole Number = 240


Final Answer


240/1


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Common Core State Standards In This Lesson
3.NF.A.3.D, 4.NF.A.2, 4.NF.B.3.A, 4.NF.B.3.B, 4.NF.B.3.C, 4.NF.B.4, 4.NF.B.4.A, 4.NF.B.4.B, 5.NF.A.1, 5.NF.B.4, 5.NF.B.4.A, 5.NF.B.5.B, 6.NS.A.1
What is the Answer?
240/1
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


What 10 concepts are covered in the Fractions and Mixed Numbers Calculator?
addition
math operation involving the sum of elements
denominator
The bottom portion of a fraction. For a/b, b is the denominator
division
separate a number into parts
fraction
how many parts of a certain size exist
a/b where a is the numerator and b is the denominator
mixed number
a number consisting of an integer and a proper fraction.
multiplication
math operation involving the product of elements
numerator
the number above the line in a common fraction
reciprocal
a number which when multiplied by x yields the multiplicative identity, 1
simplify
reducing the expression/fraction/problem in a simpler form.
subtraction
math operation involving the difference of elements
Example calculations for the Fractions and Mixed Numbers Calculator
Fractions and Mixed Numbers Calculator Video

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