23/177 added to 118/4 in Fraction Form

The result of 23/177 added to 118/4 is: 29 223/354

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23177 and 1184.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 177 and 4 is 708.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23177 to 92708
Convert 1184 to 20886708

Step 4: Add the Numerators

Add the numerators: 92 + 20886 = 20978

Step 5: Simplify the Fraction

We can simplify 20978708 to its lowest form.
The greatest common divisor (GCD) of 20978 and 708 is 2.
Dividing both numerator and denominator by the GCD, we get 10489354.

Step 6: Convert to Mixed Number

The fraction 10489354 can be written as the mixed number 29223354.

Final Answer

The result of 23/177 added to 118/4 is:

23177+1184=29223354

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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