36/148 added to 127/3 in Fraction Form

The result of 36/148 added to 127/3 is: 42 64/111

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 36148 and 1273.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 148 and 3 is 444.

Step 3: Convert Fractions to Equivalent Fractions

Convert 36148 to 108444
Convert 1273 to 18796444

Step 4: Add the Numerators

Add the numerators: 108 + 18796 = 18904

Step 5: Simplify the Fraction

We can simplify 18904444 to its lowest form.
The greatest common divisor (GCD) of 18904 and 444 is 4.
Dividing both numerator and denominator by the GCD, we get 4726111.

Step 6: Convert to Mixed Number

The fraction 4726111 can be written as the mixed number 4264111.

Final Answer

The result of 36/148 added to 127/3 is:

36148+1273=4264111

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: