153/122 added to 9/3 in Fraction Form

The result of 153/122 added to 9/3 is: 4 31/122

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 153122 and 93.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 122 and 3 is 366.

Step 3: Convert Fractions to Equivalent Fractions

Convert 153122 to 459366
Convert 93 to 1098366

Step 4: Add the Numerators

Add the numerators: 459 + 1098 = 1557

Step 5: Simplify the Fraction

We can simplify 1557366 to its lowest form.
The greatest common divisor (GCD) of 1557 and 366 is 3.
Dividing both numerator and denominator by the GCD, we get 519122.

Step 6: Convert to Mixed Number

The fraction 519122 can be written as the mixed number 431122.

Final Answer

The result of 153/122 added to 9/3 is:

153122+93=431122

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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