100/92 added to 101/6 in Fraction Form

The result of 100/92 added to 101/6 is: 17 127/138

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10092 and 1016.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 92 and 6 is 276.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10092 to 300276
Convert 1016 to 4646276

Step 4: Add the Numerators

Add the numerators: 300 + 4646 = 4946

Step 5: Simplify the Fraction

We can simplify 4946276 to its lowest form.
The greatest common divisor (GCD) of 4946 and 276 is 2.
Dividing both numerator and denominator by the GCD, we get 2473138.

Step 6: Convert to Mixed Number

The fraction 2473138 can be written as the mixed number 17127138.

Final Answer

The result of 100/92 added to 101/6 is:

10092+1016=17127138

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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