40/191 added to 26/4 in Fraction Form

The result of 40/191 added to 26/4 is: 6 271/382

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 40191 and 264.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 191 and 4 is 764.

Step 3: Convert Fractions to Equivalent Fractions

Convert 40191 to 160764
Convert 264 to 4966764

Step 4: Add the Numerators

Add the numerators: 160 + 4966 = 5126

Step 5: Simplify the Fraction

We can simplify 5126764 to its lowest form.
The greatest common divisor (GCD) of 5126 and 764 is 2.
Dividing both numerator and denominator by the GCD, we get 2563382.

Step 6: Convert to Mixed Number

The fraction 2563382 can be written as the mixed number 6271382.

Final Answer

The result of 40/191 added to 26/4 is:

40191+264=6271382

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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