43/9 added to 100/4 in Fraction Form

The result of 43/9 added to 100/4 is: 29 7/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 439 and 1004.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 4 is 36.

Step 3: Convert Fractions to Equivalent Fractions

Convert 439 to 17236
Convert 1004 to 90036

Step 4: Add the Numerators

Add the numerators: 172 + 900 = 1072

Step 5: Simplify the Fraction

We can simplify 107236 to its lowest form.
The greatest common divisor (GCD) of 1072 and 36 is 4.
Dividing both numerator and denominator by the GCD, we get 2689.

Step 6: Convert to Mixed Number

The fraction 2689 can be written as the mixed number 2979.

Final Answer

The result of 43/9 added to 100/4 is:

439+1004=2979

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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