4/38 added to 232/3 in Fraction Form

The result of 4/38 added to 232/3 is: 77 25/57

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 438 and 2323.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 38 and 3 is 114.

Step 3: Convert Fractions to Equivalent Fractions

Convert 438 to 12114
Convert 2323 to 8816114

Step 4: Add the Numerators

Add the numerators: 12 + 8816 = 8828

Step 5: Simplify the Fraction

We can simplify 8828114 to its lowest form.
The greatest common divisor (GCD) of 8828 and 114 is 2.
Dividing both numerator and denominator by the GCD, we get 441457.

Step 6: Convert to Mixed Number

The fraction 441457 can be written as the mixed number 772557.

Final Answer

The result of 4/38 added to 232/3 is:

438+2323=772557

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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