Enter fraction(s) below:
Simplify and Evaluate the following fraction:
| 186 | |
| 31 |
First, evaluate the numerator and denominator
The numerator is 186
The denominator is 31
Reduce our fraction
Reduce the numerator by GCF
(1/31) x 186 = 6
Reduce the denominator by GCF
(1/31) x 31 = 1
Build our reduced answer
| 6 | |
| 1 |
Simplify the improper fraction:
Determine the integer of Numerator ÷ Denominator
Integer = 6 ÷ 1 = 6
Remainder = 6 - 6(1)
Remainder = 6 - 6
Remainder = 0
Build mixed fraction:
Integer & Remainder ÷ Original Denominator
6 & 0/1
Since our denominator is = 1, we simplify and just show the numerator as our answer → 6
6/1
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 186/31, let's evaluate:
Whole Number = 186 / 31 = 6
Whole Number = Integer(6)
Whole Number = 6
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 = | (186 - 31 x 6) |
| 31 |
| Fraction Portion = | 186 - 186 |
| 31 |
| Fraction Portion = | 0 |
| 31 |
Combine both pieces for the mixed number:
Mixed Number = Whole Number & fraction Portion
Mixed Number = 6 & 0/31
Mixed Number can also be written as 6 and 0/31
Write this as a whole number
Whole Number = 6
Final Answer
6/1
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?
6/1
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.
* 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
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
