12/188 added to 26/3 in Fraction Form

The result of 12/188 added to 26/3 is: 8 103/141

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12188 and 263.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 188 and 3 is 564.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12188 to 36564
Convert 263 to 4888564

Step 4: Add the Numerators

Add the numerators: 36 + 4888 = 4924

Step 5: Simplify the Fraction

We can simplify 4924564 to its lowest form.
The greatest common divisor (GCD) of 4924 and 564 is 4.
Dividing both numerator and denominator by the GCD, we get 1231141.

Step 6: Convert to Mixed Number

The fraction 1231141 can be written as the mixed number 8103141.

Final Answer

The result of 12/188 added to 26/3 is:

12188+263=8103141

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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