13/109 added to 170/4 in Fraction Form

The result of 13/109 added to 170/4 is: 42 135/218

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13109 and 1704.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 109 and 4 is 436.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13109 to 52436
Convert 1704 to 18530436

Step 4: Add the Numerators

Add the numerators: 52 + 18530 = 18582

Step 5: Simplify the Fraction

We can simplify 18582436 to its lowest form.
The greatest common divisor (GCD) of 18582 and 436 is 2.
Dividing both numerator and denominator by the GCD, we get 9291218.

Step 6: Convert to Mixed Number

The fraction 9291218 can be written as the mixed number 42135218.

Final Answer

The result of 13/109 added to 170/4 is:

13109+1704=42135218

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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