141/85 added to 102/4 in Fraction Form

The result of 141/85 added to 102/4 is: 27 27/170

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14185 and 1024.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 85 and 4 is 340.

Step 3: Convert Fractions to Equivalent Fractions

Convert 14185 to 564340
Convert 1024 to 8670340

Step 4: Add the Numerators

Add the numerators: 564 + 8670 = 9234

Step 5: Simplify the Fraction

We can simplify 9234340 to its lowest form.
The greatest common divisor (GCD) of 9234 and 340 is 2.
Dividing both numerator and denominator by the GCD, we get 4617170.

Step 6: Convert to Mixed Number

The fraction 4617170 can be written as the mixed number 2727170.

Final Answer

The result of 141/85 added to 102/4 is:

14185+1024=2727170

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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