14/191 added to 118/4 in Fraction Form

The result of 14/191 added to 118/4 is: 29 219/382

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14191 and 1184.

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 14191 to 56764
Convert 1184 to 22538764

Step 4: Add the Numerators

Add the numerators: 56 + 22538 = 22594

Step 5: Simplify the Fraction

We can simplify 22594764 to its lowest form.
The greatest common divisor (GCD) of 22594 and 764 is 2.
Dividing both numerator and denominator by the GCD, we get 11297382.

Step 6: Convert to Mixed Number

The fraction 11297382 can be written as the mixed number 29219382.

Final Answer

The result of 14/191 added to 118/4 is:

14191+1184=29219382

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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