Enter fraction(s) below:
Find all fractions between:
| 3 | |
| 4 |
| and |
| 7 |
| 12 |
Find a common denominator:
Convert fraction 1
Multiply top and bottom by LCM ÷ Denominator
LCM ÷ Denominator = 12 ÷ 4 = 3
| 3 | |
| 4 |
| x |
| 3 |
| 3 |
| 9 | |
| 12 |
Since our second fraction has a denominator equal to our least common multiple of 12,
we do not convert this fraction
Fraction Between
We take every numerator between 7 and 9
Use a numerator of 8 and a denominator of 12
| 8 | |
| 12 |
Reduce our fraction
Using our GCF calculator, the fraction can be reduced on the top and bottom by 4
| 8 ÷ 4 | |
| 12 ÷ 4 |
| = |
| 2 |
| 3 |
Final 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.
* 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
Fractions and Mixed Numbers Calculator Video
Tags:
Add This Calculator To Your Website
