49/213 added to 51/6 in Fraction Form

The result of 49/213 added to 51/6 is: 8 311/426

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 49213 and 516.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 6 is 426.

Step 3: Convert Fractions to Equivalent Fractions

Convert 49213 to 98426
Convert 516 to 3621426

Step 4: Add the Numerators

Add the numerators: 98 + 3621 = 3719

Step 5: Convert to Mixed Number

The fraction 3719426 can be written as the mixed number 8311426.

Final Answer

The result of 49/213 added to 51/6 is:

49213+516=8311426

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: