158/102 added to 39/3 in Fraction Form

The result of 158/102 added to 39/3 is: 14 28/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 158102 and 393.

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 158102 to 158102
Convert 393 to 1326102

Step 4: Add the Numerators

Add the numerators: 158 + 1326 = 1484

Step 5: Simplify the Fraction

We can simplify 1484102 to its lowest form.
The greatest common divisor (GCD) of 1484 and 102 is 2.
Dividing both numerator and denominator by the GCD, we get 74251.

Step 6: Convert to Mixed Number

The fraction 74251 can be written as the mixed number 142851.

Final Answer

The result of 158/102 added to 39/3 is:

158102+393=142851

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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