31/78 added to 139/2 in Fraction Form

The result of 31/78 added to 139/2 is: 69 35/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3178 and 1392.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 78 and 2 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3178 to 3178
Convert 1392 to 542178

Step 4: Add the Numerators

Add the numerators: 31 + 5421 = 5452

Step 5: Simplify the Fraction

We can simplify 545278 to its lowest form.
The greatest common divisor (GCD) of 5452 and 78 is 2.
Dividing both numerator and denominator by the GCD, we get 272639.

Step 6: Convert to Mixed Number

The fraction 272639 can be written as the mixed number 693539.

Final Answer

The result of 31/78 added to 139/2 is:

3178+1392=693539

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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