69/39 added to 177/4 in Fraction Form

The result of 69/39 added to 177/4 is: 46 1/52

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6939 and 1774.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 39 and 4 is 156.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6939 to 276156
Convert 1774 to 6903156

Step 4: Add the Numerators

Add the numerators: 276 + 6903 = 7179

Step 5: Simplify the Fraction

We can simplify 7179156 to its lowest form.
The greatest common divisor (GCD) of 7179 and 156 is 3.
Dividing both numerator and denominator by the GCD, we get 239352.

Step 6: Convert to Mixed Number

The fraction 239352 can be written as the mixed number 46152.

Final Answer

The result of 69/39 added to 177/4 is:

6939+1774=46152

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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