19/49 added to 21/3 in Fraction Form

The result of 19/49 added to 21/3 is: 7 19/49

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1949 and 213.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 49 and 3 is 147.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1949 to 57147
Convert 213 to 1029147

Step 4: Add the Numerators

Add the numerators: 57 + 1029 = 1086

Step 5: Simplify the Fraction

We can simplify 1086147 to its lowest form.
The greatest common divisor (GCD) of 1086 and 147 is 3.
Dividing both numerator and denominator by the GCD, we get 36249.

Step 6: Convert to Mixed Number

The fraction 36249 can be written as the mixed number 71949.

Final Answer

The result of 19/49 added to 21/3 is:

1949+213=71949

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).

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