38/139 added to 51/3 in Fraction Form

The result of 38/139 added to 51/3 is: 17 38/139

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 38139 and 513.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 139 and 3 is 417.

Step 3: Convert Fractions to Equivalent Fractions

Convert 38139 to 114417
Convert 513 to 7089417

Step 4: Add the Numerators

Add the numerators: 114 + 7089 = 7203

Step 5: Simplify the Fraction

We can simplify 7203417 to its lowest form.
The greatest common divisor (GCD) of 7203 and 417 is 3.
Dividing both numerator and denominator by the GCD, we get 2401139.

Step 6: Convert to Mixed Number

The fraction 2401139 can be written as the mixed number 1738139.

Final Answer

The result of 38/139 added to 51/3 is:

38139+513=1738139

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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