Divide 21 and 1&3/4

Enter fraction(s) below:

You entered the mixed number 1&3/4 for Fraction 2. We need to convert this to an improper fraction.

The formula for this is:

Fraction =	Denominator x Whole Number + Numerator
	Denominator

Using the mixed number you entered, let's pick off the 3 pieces of the formula:

The denominator = 4
The whole number = 1
The numerator = 3

Now that we have the pieces we need, let's plug them into the fraction formula and evaluate:

Fraction =	(4 x 1) + 3
	4

Fraction =	4 + 3
	4

Fraction =	7
	4

We want to get the quotient of the following 2 fractions:

Let's take our 2 fractions and divide:

Multiply by the reciprocal

a x d

b x c

a = 21,
b = 1,
c = 7,
d = 4, so we have:

21 x 4

1 x 7

Reduce our fraction

GCF(84 and 7) = 7

Reduce the numerator by GCF

(1/7) x 84 = 12

Reduce the denominator by GCF

(1/7) x 7 = 1

Build our reduced answer

Since our reduced answer is a whole number, we remove the one from the denominator and write it as:
Answer = 12

Final Answer

Answer = 12

What is the Answer?

Answer = 12

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.

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

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