123/38 added to 155/2 in Fraction Form

The result of 123/38 added to 155/2 is: 80 14/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12338 and 1552.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 38 and 2 is 38.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12338 to 12338
Convert 1552 to 294538

Step 4: Add the Numerators

Add the numerators: 123 + 2945 = 3068

Step 5: Simplify the Fraction

We can simplify 306838 to its lowest form.
The greatest common divisor (GCD) of 3068 and 38 is 2.
Dividing both numerator and denominator by the GCD, we get 153419.

Step 6: Convert to Mixed Number

The fraction 153419 can be written as the mixed number 801419.

Final Answer

The result of 123/38 added to 155/2 is:

12338+1552=801419

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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