 # Simplify 4&3/7 and 3/8

## Enter fraction(s) below:

You entered the mixed number 4&3/7 for Fraction 1. 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 = 7
The whole number = 4
The numerator = 3

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

 Fraction  = (7 x 4) + 3 7

 Fraction  = 28 + 3 7

 Fraction  = 31 7

### 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