Enter fraction(s) below:
Convert the mixed number
You entered the mixed number 3&1/4 for Fraction 1.
We need to convert this to an improper fraction.
The formula for this is:
| Fraction = | Denominator x Whole Number + Numerator |
| Denominator |
Evaluate using
The denominator = 4
The whole number = 3
The numerator = 1
Evaluate:
| Fraction = | (4 x 3) + 1 |
| 4 |
| Fraction = | 12 + 1 |
| 4 |
| Fraction = | 13 |
| 4 |
Convert the mixed number
You entered the mixed number 3&1/4 for Fraction 1.
We need to convert this to an improper fraction.
The formula for this is:
| Fraction = | Denominator x Whole Number + Numerator |
| Denominator |
Evaluate using 3&1/4
The denominator = 4
The whole number = 3
The numerator = 1
Evaluate:
| Fraction = | (4 x 3) + 1 |
| 4 |
| Fraction = | 12 + 1 |
| 4 |
| Fraction = | 13 |
| 4 |
Write this as a whole number
Whole Number =
Final Answer
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
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
For more math formulas, check out our Formula Dossier
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?
- 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
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