26/221 added to 3/2 in Fraction Form

The result of 26/221 added to 3/2 is: 1 21/34

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 26221 and 32.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 221 and 2 is 442.

Step 3: Convert Fractions to Equivalent Fractions

Convert 26221 to 52442
Convert 32 to 663442

Step 4: Add the Numerators

Add the numerators: 52 + 663 = 715

Step 5: Simplify the Fraction

We can simplify 715442 to its lowest form.
The greatest common divisor (GCD) of 715 and 442 is 13.
Dividing both numerator and denominator by the GCD, we get 5534.

Step 6: Convert to Mixed Number

The fraction 5534 can be written as the mixed number 12134.

Final Answer

The result of 26/221 added to 3/2 is:

26221+32=12134

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: