117/26 added to 53/6 in Fraction Form

The result of 117/26 added to 53/6 is: 13 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11726 and 536.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 26 and 6 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11726 to 35178
Convert 536 to 68978

Step 4: Add the Numerators

Add the numerators: 351 + 689 = 1040

Step 5: Simplify the Fraction

We can simplify 104078 to its lowest form.
The greatest common divisor (GCD) of 1040 and 78 is 26.
Dividing both numerator and denominator by the GCD, we get 403.

Step 6: Convert to Mixed Number

The fraction 403 can be written as the mixed number 1313.

Final Answer

The result of 117/26 added to 53/6 is:

11726+536=1313

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: