36/153 added to 127/3 in Fraction Form

The result of 36/153 added to 127/3 is: 42 29/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 36153 and 1273.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 153 and 3 is 153.

Step 3: Convert Fractions to Equivalent Fractions

Convert 36153 to 36153
Convert 1273 to 6477153

Step 4: Add the Numerators

Add the numerators: 36 + 6477 = 6513

Step 5: Simplify the Fraction

We can simplify 6513153 to its lowest form.
The greatest common divisor (GCD) of 6513 and 153 is 3.
Dividing both numerator and denominator by the GCD, we get 217151.

Step 6: Convert to Mixed Number

The fraction 217151 can be written as the mixed number 422951.

Final Answer

The result of 36/153 added to 127/3 is:

36153+1273=422951

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

Calculate operations between any two fractions: