16/19 added to 52/4 in Fraction Form

The result of 16/19 added to 52/4 is: 13 16/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1619 and 524.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 19 and 4 is 76.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1619 to 6476
Convert 524 to 98876

Step 4: Add the Numerators

Add the numerators: 64 + 988 = 1052

Step 5: Simplify the Fraction

We can simplify 105276 to its lowest form.
The greatest common divisor (GCD) of 1052 and 76 is 4.
Dividing both numerator and denominator by the GCD, we get 26319.

Step 6: Convert to Mixed Number

The fraction 26319 can be written as the mixed number 131619.

Final Answer

The result of 16/19 added to 52/4 is:

1619+524=131619

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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