34/168 added to 139/4 in Fraction Form

The result of 34/168 added to 139/4 is: 34 20/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 34168 and 1394.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 168 and 4 is 168.

Step 3: Convert Fractions to Equivalent Fractions

Convert 34168 to 34168
Convert 1394 to 5838168

Step 4: Add the Numerators

Add the numerators: 34 + 5838 = 5872

Step 5: Simplify the Fraction

We can simplify 5872168 to its lowest form.
The greatest common divisor (GCD) of 5872 and 168 is 8.
Dividing both numerator and denominator by the GCD, we get 73421.

Step 6: Convert to Mixed Number

The fraction 73421 can be written as the mixed number 342021.

Final Answer

The result of 34/168 added to 139/4 is:

34168+1394=342021

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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