30/263 added to 26/4 in Fraction Form

The result of 30/263 added to 26/4 is: 6 323/526

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 30263 and 264.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 263 and 4 is 1052.

Step 3: Convert Fractions to Equivalent Fractions

Convert 30263 to 1201052
Convert 264 to 68381052

Step 4: Add the Numerators

Add the numerators: 120 + 6838 = 6958

Step 5: Simplify the Fraction

We can simplify 69581052 to its lowest form.
The greatest common divisor (GCD) of 6958 and 1052 is 2.
Dividing both numerator and denominator by the GCD, we get 3479526.

Step 6: Convert to Mixed Number

The fraction 3479526 can be written as the mixed number 6323526.

Final Answer

The result of 30/263 added to 26/4 is:

30263+264=6323526

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

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