22/262 added to 14/3 in Fraction Form

The result of 22/262 added to 14/3 is: 4 295/393

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22262 and 143.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 262 and 3 is 786.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22262 to 66786
Convert 143 to 3668786

Step 4: Add the Numerators

Add the numerators: 66 + 3668 = 3734

Step 5: Simplify the Fraction

We can simplify 3734786 to its lowest form.
The greatest common divisor (GCD) of 3734 and 786 is 2.
Dividing both numerator and denominator by the GCD, we get 1867393.

Step 6: Convert to Mixed Number

The fraction 1867393 can be written as the mixed number 4295393.

Final Answer

The result of 22/262 added to 14/3 is:

22262+143=4295393

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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