73/102 added to 153/2 in Fraction Form

The result of 73/102 added to 153/2 is: 77 11/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 73102 and 1532.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 2 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 73102 to 73102
Convert 1532 to 7803102

Step 4: Add the Numerators

Add the numerators: 73 + 7803 = 7876

Step 5: Simplify the Fraction

We can simplify 7876102 to its lowest form.
The greatest common divisor (GCD) of 7876 and 102 is 2.
Dividing both numerator and denominator by the GCD, we get 393851.

Step 6: Convert to Mixed Number

The fraction 393851 can be written as the mixed number 771151.

Final Answer

The result of 73/102 added to 153/2 is:

73102+1532=771151

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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