39/127 added to 158/2 in Fraction Form

The result of 39/127 added to 158/2 is: 79 39/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 39127 and 1582.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 2 is 254.

Step 3: Convert Fractions to Equivalent Fractions

Convert 39127 to 78254
Convert 1582 to 20066254

Step 4: Add the Numerators

Add the numerators: 78 + 20066 = 20144

Step 5: Simplify the Fraction

We can simplify 20144254 to its lowest form.
The greatest common divisor (GCD) of 20144 and 254 is 2.
Dividing both numerator and denominator by the GCD, we get 10072127.

Step 6: Convert to Mixed Number

The fraction 10072127 can be written as the mixed number 7939127.

Final Answer

The result of 39/127 added to 158/2 is:

39127+1582=7939127

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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