16/34 added to 185/3 in Fraction Form

The result of 16/34 added to 185/3 is: 62 7/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1634 and 1853.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 34 and 3 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1634 to 48102
Convert 1853 to 6290102

Step 4: Add the Numerators

Add the numerators: 48 + 6290 = 6338

Step 5: Simplify the Fraction

We can simplify 6338102 to its lowest form.
The greatest common divisor (GCD) of 6338 and 102 is 2.
Dividing both numerator and denominator by the GCD, we get 316951.

Step 6: Convert to Mixed Number

The fraction 316951 can be written as the mixed number 62751.

Final Answer

The result of 16/34 added to 185/3 is:

1634+1853=62751

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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