16/128 added to 118/2 in Fraction Form

The result of 16/128 added to 118/2 is: 59 1/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 16128 and 1182.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 128 and 2 is 128.

Step 3: Convert Fractions to Equivalent Fractions

Convert 16128 to 16128
Convert 1182 to 7552128

Step 4: Add the Numerators

Add the numerators: 16 + 7552 = 7568

Step 5: Simplify the Fraction

We can simplify 7568128 to its lowest form.
The greatest common divisor (GCD) of 7568 and 128 is 16.
Dividing both numerator and denominator by the GCD, we get 4738.

Step 6: Convert to Mixed Number

The fraction 4738 can be written as the mixed number 5918.

Final Answer

The result of 16/128 added to 118/2 is:

16128+1182=5918

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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