4/177 added to 100/3 in Fraction Form

The result of 4/177 added to 100/3 is: 33 21/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4177 and 1003.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 177 and 3 is 177.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4177 to 4177
Convert 1003 to 5900177

Step 4: Add the Numerators

Add the numerators: 4 + 5900 = 5904

Step 5: Simplify the Fraction

We can simplify 5904177 to its lowest form.
The greatest common divisor (GCD) of 5904 and 177 is 3.
Dividing both numerator and denominator by the GCD, we get 196859.

Step 6: Convert to Mixed Number

The fraction 196859 can be written as the mixed number 332159.

Final Answer

The result of 4/177 added to 100/3 is:

4177+1003=332159

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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