69/57 added to 4/4 in Fraction Form

The result of 69/57 added to 4/4 is: 2 4/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6957 and 44.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 57 and 4 is 228.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6957 to 276228
Convert 44 to 228228

Step 4: Add the Numerators

Add the numerators: 276 + 228 = 504

Step 5: Simplify the Fraction

We can simplify 504228 to its lowest form.
The greatest common divisor (GCD) of 504 and 228 is 12.
Dividing both numerator and denominator by the GCD, we get 4219.

Step 6: Convert to Mixed Number

The fraction 4219 can be written as the mixed number 2419.

Final Answer

The result of 69/57 added to 4/4 is:

6957+44=2419

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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