4/180 added to 23/3 in Fraction Form

The result of 4/180 added to 23/3 is: 7 31/45

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4180 and 233.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 180 and 3 is 180.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4180 to 4180
Convert 233 to 1380180

Step 4: Add the Numerators

Add the numerators: 4 + 1380 = 1384

Step 5: Simplify the Fraction

We can simplify 1384180 to its lowest form.
The greatest common divisor (GCD) of 1384 and 180 is 4.
Dividing both numerator and denominator by the GCD, we get 34645.

Step 6: Convert to Mixed Number

The fraction 34645 can be written as the mixed number 73145.

Final Answer

The result of 4/180 added to 23/3 is:

4180+233=73145

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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