98/7 added to 102/3 in Fraction Form

The result of 98/7 added to 102/3 is: 48

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 987 and 1023.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 3 is 21.

Step 3: Convert Fractions to Equivalent Fractions

Convert 987 to 29421
Convert 1023 to 71421

Step 4: Add the Numerators

Add the numerators: 294 + 714 = 1008

Step 5: Simplify the Fraction

We can simplify 100821 to its lowest form.
The greatest common divisor (GCD) of 1008 and 21 is 21.
Dividing both numerator and denominator by the GCD, we get 481.

Final Answer

The result of 98/7 added to 102/3 is:

987+1023=48

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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