# Between 3/4 and 7/12

## Enter fraction(s) below:

Find all fractions that lie between the following two fractions:

 3 4
 and
 7 12

## Find a common denominator:

Using our denominators of 4 and 12, our LCM calculator gives us an answer of 12

## Convert fraction 1 based on a least common multiple of 12

We need to multiply top and bottom of the fraction 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

## Now that denominators are equal, we show the 1 fraction between the 2 and reduce if necessary:

We take every numerator between 7 and 9

## Use a numerator of 8 and a denominator of 12

 8 12

Using our GCF calculator, the fraction can be reduced on the top and bottom by 4

 8 ÷ 4 12 ÷ 4
 =
 2 3

### How does the Fractions and Mixed Numbers Calculator work?

Given (improper fractions, proper fraction, mixed numbers, or whole numbers), this performs the following operations:
* 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?

1. a/c + b/c = (a + b)/c
2. a/c - b/c = (a - b)/c
3. a/c * b/c = ab/c * c
5. 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?

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