77/122 added to 1/2 in Fraction Form

The result of 77/122 added to 1/2 is: 1 8/61

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 77122 and 12.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 122 and 2 is 122.

Step 3: Convert Fractions to Equivalent Fractions

Convert 77122 to 77122
Convert 12 to 61122

Step 4: Add the Numerators

Add the numerators: 77 + 61 = 138

Step 5: Simplify the Fraction

We can simplify 138122 to its lowest form.
The greatest common divisor (GCD) of 138 and 122 is 2.
Dividing both numerator and denominator by the GCD, we get 6961.

Step 6: Convert to Mixed Number

The fraction 6961 can be written as the mixed number 1861.

Final Answer

The result of 77/122 added to 1/2 is:

77122+12=1861

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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