22/118 added to 114/3 in Fraction Form

The result of 22/118 added to 114/3 is: 38 11/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22118 and 1143.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 118 and 3 is 354.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22118 to 66354
Convert 1143 to 13452354

Step 4: Add the Numerators

Add the numerators: 66 + 13452 = 13518

Step 5: Simplify the Fraction

We can simplify 13518354 to its lowest form.
The greatest common divisor (GCD) of 13518 and 354 is 6.
Dividing both numerator and denominator by the GCD, we get 225359.

Step 6: Convert to Mixed Number

The fraction 225359 can be written as the mixed number 381159.

Final Answer

The result of 22/118 added to 114/3 is:

22118+1143=381159

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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