14/31 added to 6/6 in Fraction Form

The result of 14/31 added to 6/6 is: 1 14/31

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1431 and 66.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 31 and 6 is 186.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1431 to 84186
Convert 66 to 186186

Step 4: Add the Numerators

Add the numerators: 84 + 186 = 270

Step 5: Simplify the Fraction

We can simplify 270186 to its lowest form.
The greatest common divisor (GCD) of 270 and 186 is 6.
Dividing both numerator and denominator by the GCD, we get 4531.

Step 6: Convert to Mixed Number

The fraction 4531 can be written as the mixed number 11431.

Final Answer

The result of 14/31 added to 6/6 is:

1431+66=11431

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Fraction Calculator

Calculate operations between any two fractions: