15/57 added to 210/2 in Fraction Form

The result of 15/57 added to 210/2 is: 105 5/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1557 and 2102.

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 2102 to 11970114

Step 4: Add the Numerators

Add the numerators: 30 + 11970 = 12000

Step 5: Simplify the Fraction

We can simplify 12000114 to its lowest form.
The greatest common divisor (GCD) of 12000 and 114 is 6.
Dividing both numerator and denominator by the GCD, we get 200019.

Step 6: Convert to Mixed Number

The fraction 200019 can be written as the mixed number 105519.

Final Answer

The result of 15/57 added to 210/2 is:

1557+2102=105519

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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