16/57 added to 82/2 in Fraction Form

The result of 16/57 added to 82/2 is: 41 16/57

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1657 and 822.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 57 and 2 is 114.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1657 to 32114
Convert 822 to 4674114

Step 4: Add the Numerators

Add the numerators: 32 + 4674 = 4706

Step 5: Simplify the Fraction

We can simplify 4706114 to its lowest form.
The greatest common divisor (GCD) of 4706 and 114 is 2.
Dividing both numerator and denominator by the GCD, we get 235357.

Step 6: Convert to Mixed Number

The fraction 235357 can be written as the mixed number 411657.

Final Answer

The result of 16/57 added to 82/2 is:

1657+822=411657

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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