7/174 added to 102/4 in Fraction Form

The result of 7/174 added to 102/4 is: 25 47/87

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7174 and 1024.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 174 and 4 is 348.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7174 to 14348
Convert 1024 to 8874348

Step 4: Add the Numerators

Add the numerators: 14 + 8874 = 8888

Step 5: Simplify the Fraction

We can simplify 8888348 to its lowest form.
The greatest common divisor (GCD) of 8888 and 348 is 4.
Dividing both numerator and denominator by the GCD, we get 222287.

Step 6: Convert to Mixed Number

The fraction 222287 can be written as the mixed number 254787.

Final Answer

The result of 7/174 added to 102/4 is:

7174+1024=254787

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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