13/21 added to 83/4 in Fraction Form

The result of 13/21 added to 83/4 is: 21 31/84

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1321 and 834.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1321 to 5284
Convert 834 to 174384

Step 4: Add the Numerators

Add the numerators: 52 + 1743 = 1795

Step 5: Convert to Mixed Number

The fraction 179584 can be written as the mixed number 213184.

Final Answer

The result of 13/21 added to 83/4 is:

1321+834=213184

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: