30/135 added to 21/4 in Fraction Form

The result of 30/135 added to 21/4 is: 5 17/36

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 30135 and 214.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 135 and 4 is 540.

Step 3: Convert Fractions to Equivalent Fractions

Convert 30135 to 120540
Convert 214 to 2835540

Step 4: Add the Numerators

Add the numerators: 120 + 2835 = 2955

Step 5: Simplify the Fraction

We can simplify 2955540 to its lowest form.
The greatest common divisor (GCD) of 2955 and 540 is 15.
Dividing both numerator and denominator by the GCD, we get 19736.

Step 6: Convert to Mixed Number

The fraction 19736 can be written as the mixed number 51736.

Final Answer

The result of 30/135 added to 21/4 is:

30135+214=51736

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: