6/174 added to 102/4 in Fraction Form

The result of 6/174 added to 102/4 is: 25 31/58

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6174 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 6174 to 12348
Convert 1024 to 8874348

Step 4: Add the Numerators

Add the numerators: 12 + 8874 = 8886

Step 5: Simplify the Fraction

We can simplify 8886348 to its lowest form.
The greatest common divisor (GCD) of 8886 and 348 is 6.
Dividing both numerator and denominator by the GCD, we get 148158.

Step 6: Convert to Mixed Number

The fraction 148158 can be written as the mixed number 253158.

Final Answer

The result of 6/174 added to 102/4 is:

6174+1024=253158

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

Calculate operations between any two fractions: