98/82 added to 127/3 in Fraction Form

The result of 98/82 added to 127/3 is: 43 65/123

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 9882 and 1273.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 3 is 246.

Step 3: Convert Fractions to Equivalent Fractions

Convert 9882 to 294246
Convert 1273 to 10414246

Step 4: Add the Numerators

Add the numerators: 294 + 10414 = 10708

Step 5: Simplify the Fraction

We can simplify 10708246 to its lowest form.
The greatest common divisor (GCD) of 10708 and 246 is 2.
Dividing both numerator and denominator by the GCD, we get 5354123.

Step 6: Convert to Mixed Number

The fraction 5354123 can be written as the mixed number 4365123.

Final Answer

The result of 98/82 added to 127/3 is:

9882+1273=4365123

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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