10/33 added to 30/2 in Fraction Form

The result of 10/33 added to 30/2 is: 15 10/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1033 and 302.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 33 and 2 is 66.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1033 to 2066
Convert 302 to 99066

Step 4: Add the Numerators

Add the numerators: 20 + 990 = 1010

Step 5: Simplify the Fraction

We can simplify 101066 to its lowest form.
The greatest common divisor (GCD) of 1010 and 66 is 2.
Dividing both numerator and denominator by the GCD, we get 50533.

Step 6: Convert to Mixed Number

The fraction 50533 can be written as the mixed number 151033.

Final Answer

The result of 10/33 added to 30/2 is:

1033+302=151033

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: