69/21 added to 25/2 in Fraction Form

The result of 69/21 added to 25/2 is: 15 11/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6921 and 252.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 2 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6921 to 13842
Convert 252 to 52542

Step 4: Add the Numerators

Add the numerators: 138 + 525 = 663

Step 5: Simplify the Fraction

We can simplify 66342 to its lowest form.
The greatest common divisor (GCD) of 663 and 42 is 3.
Dividing both numerator and denominator by the GCD, we get 22114.

Step 6: Convert to Mixed Number

The fraction 22114 can be written as the mixed number 151114.

Final Answer

The result of 69/21 added to 25/2 is:

6921+252=151114

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: