69/228 added to 37/4 in Fraction Form

The result of 69/228 added to 37/4 is: 9 21/38

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69228 and 374.

Step 2: Find the Least Common Multiple (LCM)

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

Step 3: Convert Fractions to Equivalent Fractions

Convert 69228 to 69228
Convert 374 to 2109228

Step 4: Add the Numerators

Add the numerators: 69 + 2109 = 2178

Step 5: Simplify the Fraction

We can simplify 2178228 to its lowest form.
The greatest common divisor (GCD) of 2178 and 228 is 6.
Dividing both numerator and denominator by the GCD, we get 36338.

Step 6: Convert to Mixed Number

The fraction 36338 can be written as the mixed number 92138.

Final Answer

The result of 69/228 added to 37/4 is:

69228+374=92138

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).

Fraction Calculator

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