102/64 added to 26/6 in Fraction Form

The result of 102/64 added to 26/6 is: 5 89/96

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10264 and 266.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 64 and 6 is 192.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10264 to 306192
Convert 266 to 832192

Step 4: Add the Numerators

Add the numerators: 306 + 832 = 1138

Step 5: Simplify the Fraction

We can simplify 1138192 to its lowest form.
The greatest common divisor (GCD) of 1138 and 192 is 2.
Dividing both numerator and denominator by the GCD, we get 56996.

Step 6: Convert to Mixed Number

The fraction 56996 can be written as the mixed number 58996.

Final Answer

The result of 102/64 added to 26/6 is:

10264+266=58996

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: