15/102 added to 174/4 in Fraction Form

The result of 15/102 added to 174/4 is: 43 11/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15102 and 1744.

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 15102 to 30204
Convert 1744 to 8874204

Step 4: Add the Numerators

Add the numerators: 30 + 8874 = 8904

Step 5: Simplify the Fraction

We can simplify 8904204 to its lowest form.
The greatest common divisor (GCD) of 8904 and 204 is 12.
Dividing both numerator and denominator by the GCD, we get 74217.

Step 6: Convert to Mixed Number

The fraction 74217 can be written as the mixed number 431117.

Final Answer

The result of 15/102 added to 174/4 is:

15102+1744=431117

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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