20/49 added to 213/6 in Fraction Form

The result of 20/49 added to 213/6 is: 35 89/98

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2049 and 2136.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 49 and 6 is 294.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2049 to 120294
Convert 2136 to 10437294

Step 4: Add the Numerators

Add the numerators: 120 + 10437 = 10557

Step 5: Simplify the Fraction

We can simplify 10557294 to its lowest form.
The greatest common divisor (GCD) of 10557 and 294 is 3.
Dividing both numerator and denominator by the GCD, we get 351998.

Step 6: Convert to Mixed Number

The fraction 351998 can be written as the mixed number 358998.

Final Answer

The result of 20/49 added to 213/6 is:

2049+2136=358998

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

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