11/43 added to 102/2 in Fraction Form

The result of 11/43 added to 102/2 is: 51 11/43

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1143 and 1022.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 43 and 2 is 86.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1143 to 2286
Convert 1022 to 438686

Step 4: Add the Numerators

Add the numerators: 22 + 4386 = 4408

Step 5: Simplify the Fraction

We can simplify 440886 to its lowest form.
The greatest common divisor (GCD) of 4408 and 86 is 2.
Dividing both numerator and denominator by the GCD, we get 220443.

Step 6: Convert to Mixed Number

The fraction 220443 can be written as the mixed number 511143.

Final Answer

The result of 11/43 added to 102/2 is:

1143+1022=511143

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).

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