213/15 added to 36/4 in Fraction Form

The result of 213/15 added to 36/4 is: 23 1/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21315 and 364.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 15 and 4 is 60.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21315 to 85260
Convert 364 to 54060

Step 4: Add the Numerators

Add the numerators: 852 + 540 = 1392

Step 5: Simplify the Fraction

We can simplify 139260 to its lowest form.
The greatest common divisor (GCD) of 1392 and 60 is 12.
Dividing both numerator and denominator by the GCD, we get 1165.

Step 6: Convert to Mixed Number

The fraction 1165 can be written as the mixed number 2315.

Final Answer

The result of 213/15 added to 36/4 is:

21315+364=2315

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: