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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:
* 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?

  1. a/c + b/c = (a + b)/c
  2. a/c - b/c = (a - b)/c
  3. a/c * b/c = ab/c * c
  4. a/b/c/d = ad/bc
  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?

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

  1. 1/5+6/7
  2. 3/4-1/2
  3. 8/9*5/6
  4. 2/3/5/7
  5. 1&5/8
  6. 4 and 3/7
  7. 1/2 and 5/9
  8. 2/9 of 3
  9. reciprocal of 9/4
  10. 195/6/4
  11. Simplify 15/20
  12. 1/2?3/4
  13. between 3/4 and 7/12

Fractions and Mixed Numbers Calculator Video


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