99/26 added to 86/4 in Fraction Form

The result of 99/26 added to 86/4 is: 25 4/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 9926 and 864.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 26 and 4 is 52.

Step 3: Convert Fractions to Equivalent Fractions

Convert 9926 to 19852
Convert 864 to 111852

Step 4: Add the Numerators

Add the numerators: 198 + 1118 = 1316

Step 5: Simplify the Fraction

We can simplify 131652 to its lowest form.
The greatest common divisor (GCD) of 1316 and 52 is 4.
Dividing both numerator and denominator by the GCD, we get 32913.

Step 6: Convert to Mixed Number

The fraction 32913 can be written as the mixed number 25413.

Final Answer

The result of 99/26 added to 86/4 is:

9926+864=25413

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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