69/211 added to 30/4 in Fraction Form

The result of 69/211 added to 30/4 is: 7 349/422

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69211 and 304.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 211 and 4 is 844.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69211 to 276844
Convert 304 to 6330844

Step 4: Add the Numerators

Add the numerators: 276 + 6330 = 6606

Step 5: Simplify the Fraction

We can simplify 6606844 to its lowest form.
The greatest common divisor (GCD) of 6606 and 844 is 2.
Dividing both numerator and denominator by the GCD, we get 3303422.

Step 6: Convert to Mixed Number

The fraction 3303422 can be written as the mixed number 7349422.

Final Answer

The result of 69/211 added to 30/4 is:

69211+304=7349422

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: