177/128 added to 19/4 in Fraction Form

The result of 177/128 added to 19/4 is: 6 17/128

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 177128 and 194.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 128 and 4 is 128.

Step 3: Convert Fractions to Equivalent Fractions

Convert 177128 to 177128
Convert 194 to 608128

Step 4: Add the Numerators

Add the numerators: 177 + 608 = 785

Step 5: Convert to Mixed Number

The fraction 785128 can be written as the mixed number 617128.

Final Answer

The result of 177/128 added to 19/4 is:

177128+194=617128

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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