61/139 added to 34/2 in Fraction Form

The result of 61/139 added to 34/2 is: 17 61/139

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 61139 and 342.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 139 and 2 is 278.

Step 3: Convert Fractions to Equivalent Fractions

Convert 61139 to 122278
Convert 342 to 4726278

Step 4: Add the Numerators

Add the numerators: 122 + 4726 = 4848

Step 5: Simplify the Fraction

We can simplify 4848278 to its lowest form.
The greatest common divisor (GCD) of 4848 and 278 is 2.
Dividing both numerator and denominator by the GCD, we get 2424139.

Step 6: Convert to Mixed Number

The fraction 2424139 can be written as the mixed number 1761139.

Final Answer

The result of 61/139 added to 34/2 is:

61139+342=1761139

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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