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: * 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?