69/43 added to 16/4 in Fraction Form

The result of 69/43 added to 16/4 is: 5 26/43

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6943 and 164.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 43 and 4 is 172.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6943 to 276172
Convert 164 to 688172

Step 4: Add the Numerators

Add the numerators: 276 + 688 = 964

Step 5: Simplify the Fraction

We can simplify 964172 to its lowest form.
The greatest common divisor (GCD) of 964 and 172 is 4.
Dividing both numerator and denominator by the GCD, we get 24143.

Step 6: Convert to Mixed Number

The fraction 24143 can be written as the mixed number 52643.

Final Answer

The result of 69/43 added to 16/4 is:

6943+164=52643

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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