210/98 added to 10/2 in Fraction Form

The result of 210/98 added to 10/2 is: 7 1/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21098 and 102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 98 and 2 is 98.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21098 to 21098
Convert 102 to 49098

Step 4: Add the Numerators

Add the numerators: 210 + 490 = 700

Step 5: Simplify the Fraction

We can simplify 70098 to its lowest form.
The greatest common divisor (GCD) of 700 and 98 is 14.
Dividing both numerator and denominator by the GCD, we get 507.

Step 6: Convert to Mixed Number

The fraction 507 can be written as the mixed number 717.

Final Answer

The result of 210/98 added to 10/2 is:

21098+102=717

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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