14/102 added to 178/4 in Fraction Form

The result of 14/102 added to 178/4 is: 44 65/102

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14102 and 1784.

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 14102 to 28204
Convert 1784 to 9078204

Step 4: Add the Numerators

Add the numerators: 28 + 9078 = 9106

Step 5: Simplify the Fraction

We can simplify 9106204 to its lowest form.
The greatest common divisor (GCD) of 9106 and 204 is 2.
Dividing both numerator and denominator by the GCD, we get 4553102.

Step 6: Convert to Mixed Number

The fraction 4553102 can be written as the mixed number 4465102.

Final Answer

The result of 14/102 added to 178/4 is:

14102+1784=4465102

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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