202/87 added to 10/2 in Fraction Form

The result of 202/87 added to 10/2 is: 7 28/87

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20287 and 102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 87 and 2 is 174.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20287 to 404174
Convert 102 to 870174

Step 4: Add the Numerators

Add the numerators: 404 + 870 = 1274

Step 5: Simplify the Fraction

We can simplify 1274174 to its lowest form.
The greatest common divisor (GCD) of 1274 and 174 is 2.
Dividing both numerator and denominator by the GCD, we get 63787.

Step 6: Convert to Mixed Number

The fraction 63787 can be written as the mixed number 72887.

Final Answer

The result of 202/87 added to 10/2 is:

20287+102=72887

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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