69/102 added to 176/4 in Fraction Form

The result of 69/102 added to 176/4 is: 44 23/34

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69102 and 1764.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 4 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69102 to 138204
Convert 1764 to 8976204

Step 4: Add the Numerators

Add the numerators: 138 + 8976 = 9114

Step 5: Simplify the Fraction

We can simplify 9114204 to its lowest form.
The greatest common divisor (GCD) of 9114 and 204 is 6.
Dividing both numerator and denominator by the GCD, we get 151934.

Step 6: Convert to Mixed Number

The fraction 151934 can be written as the mixed number 442334.

Final Answer

The result of 69/102 added to 176/4 is:

69102+1764=442334

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).

Fraction Calculator

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