102/176 added to 3/3 in Fraction Form

The result of 102/176 added to 3/3 is: 1 51/88

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 102176 and 33.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 176 and 3 is 528.

Step 3: Convert Fractions to Equivalent Fractions

Convert 102176 to 306528
Convert 33 to 528528

Step 4: Add the Numerators

Add the numerators: 306 + 528 = 834

Step 5: Simplify the Fraction

We can simplify 834528 to its lowest form.
The greatest common divisor (GCD) of 834 and 528 is 6.
Dividing both numerator and denominator by the GCD, we get 13988.

Step 6: Convert to Mixed Number

The fraction 13988 can be written as the mixed number 15188.

Final Answer

The result of 102/176 added to 3/3 is:

102176+33=15188

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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