112/29 added to 102/3 in Fraction Form

The result of 112/29 added to 102/3 is: 37 25/29

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11229 and 1023.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 29 and 3 is 87.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11229 to 33687
Convert 1023 to 295887

Step 4: Add the Numerators

Add the numerators: 336 + 2958 = 3294

Step 5: Simplify the Fraction

We can simplify 329487 to its lowest form.
The greatest common divisor (GCD) of 3294 and 87 is 3.
Dividing both numerator and denominator by the GCD, we get 109829.

Step 6: Convert to Mixed Number

The fraction 109829 can be written as the mixed number 372529.

Final Answer

The result of 112/29 added to 102/3 is:

11229+1023=372529

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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