112/59 added to 102/3 in Fraction Form

The result of 112/59 added to 102/3 is: 35 53/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11259 and 1023.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 59 and 3 is 177.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11259 to 336177
Convert 1023 to 6018177

Step 4: Add the Numerators

Add the numerators: 336 + 6018 = 6354

Step 5: Simplify the Fraction

We can simplify 6354177 to its lowest form.
The greatest common divisor (GCD) of 6354 and 177 is 3.
Dividing both numerator and denominator by the GCD, we get 211859.

Step 6: Convert to Mixed Number

The fraction 211859 can be written as the mixed number 355359.

Final Answer

The result of 112/59 added to 102/3 is:

11259+1023=355359

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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