43/118 added to 71/2 in Fraction Form

The result of 43/118 added to 71/2 is: 35 51/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 43118 and 712.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 118 and 2 is 118.

Step 3: Convert Fractions to Equivalent Fractions

Convert 43118 to 43118
Convert 712 to 4189118

Step 4: Add the Numerators

Add the numerators: 43 + 4189 = 4232

Step 5: Simplify the Fraction

We can simplify 4232118 to its lowest form.
The greatest common divisor (GCD) of 4232 and 118 is 2.
Dividing both numerator and denominator by the GCD, we get 211659.

Step 6: Convert to Mixed Number

The fraction 211659 can be written as the mixed number 355159.

Final Answer

The result of 43/118 added to 71/2 is:

43118+712=355159

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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