43/34 added to 213/2 in Fraction Form

The result of 43/34 added to 213/2 is: 107 13/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4334 and 2132.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 34 and 2 is 34.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4334 to 4334
Convert 2132 to 362134

Step 4: Add the Numerators

Add the numerators: 43 + 3621 = 3664

Step 5: Simplify the Fraction

We can simplify 366434 to its lowest form.
The greatest common divisor (GCD) of 3664 and 34 is 2.
Dividing both numerator and denominator by the GCD, we get 183217.

Step 6: Convert to Mixed Number

The fraction 183217 can be written as the mixed number 1071317.

Final Answer

The result of 43/34 added to 213/2 is:

4334+2132=1071317

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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