124/102 added to 19/3 in Fraction Form

The result of 124/102 added to 19/3 is: 7 28/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 124102 and 193.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 3 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 124102 to 124102
Convert 193 to 646102

Step 4: Add the Numerators

Add the numerators: 124 + 646 = 770

Step 5: Simplify the Fraction

We can simplify 770102 to its lowest form.
The greatest common divisor (GCD) of 770 and 102 is 2.
Dividing both numerator and denominator by the GCD, we get 38551.

Step 6: Convert to Mixed Number

The fraction 38551 can be written as the mixed number 72851.

Final Answer

The result of 124/102 added to 19/3 is:

124102+193=72851

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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