11/143 added to 141/2 in Fraction Form

The result of 11/143 added to 141/2 is: 70 15/26

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11143 and 1412.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 143 and 2 is 286.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11143 to 22286
Convert 1412 to 20163286

Step 4: Add the Numerators

Add the numerators: 22 + 20163 = 20185

Step 5: Simplify the Fraction

We can simplify 20185286 to its lowest form.
The greatest common divisor (GCD) of 20185 and 286 is 11.
Dividing both numerator and denominator by the GCD, we get 183526.

Step 6: Convert to Mixed Number

The fraction 183526 can be written as the mixed number 701526.

Final Answer

The result of 11/143 added to 141/2 is:

11143+1412=701526

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: