173/122 added to 7/2 in Fraction Form

The result of 173/122 added to 7/2 is: 4 56/61

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 173122 and 72.

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 173122 to 173122
Convert 72 to 427122

Step 4: Add the Numerators

Add the numerators: 173 + 427 = 600

Step 5: Simplify the Fraction

We can simplify 600122 to its lowest form.
The greatest common divisor (GCD) of 600 and 122 is 2.
Dividing both numerator and denominator by the GCD, we get 30061.

Step 6: Convert to Mixed Number

The fraction 30061 can be written as the mixed number 45661.

Final Answer

The result of 173/122 added to 7/2 is:

173122+72=45661

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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