69/43 added to 164/2 in Fraction Form

The result of 69/43 added to 164/2 is: 83 26/43

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6943 and 1642.

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 6943 to 13886
Convert 1642 to 705286

Step 4: Add the Numerators

Add the numerators: 138 + 7052 = 7190

Step 5: Simplify the Fraction

We can simplify 719086 to its lowest form.
The greatest common divisor (GCD) of 7190 and 86 is 2.
Dividing both numerator and denominator by the GCD, we get 359543.

Step 6: Convert to Mixed Number

The fraction 359543 can be written as the mixed number 832643.

Final Answer

The result of 69/43 added to 164/2 is:

6943+1642=832643

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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