15/57 added to 209/2 in Fraction Form

The result of 15/57 added to 209/2 is: 104 29/38

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1557 and 2092.

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 1557 to 30114
Convert 2092 to 11913114

Step 4: Add the Numerators

Add the numerators: 30 + 11913 = 11943

Step 5: Simplify the Fraction

We can simplify 11943114 to its lowest form.
The greatest common divisor (GCD) of 11943 and 114 is 3.
Dividing both numerator and denominator by the GCD, we get 398138.

Step 6: Convert to Mixed Number

The fraction 398138 can be written as the mixed number 1042938.

Final Answer

The result of 15/57 added to 209/2 is:

1557+2092=1042938

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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