69/101 added to 132/6 in Fraction Form

The result of 69/101 added to 132/6 is: 22 69/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69101 and 1326.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 6 is 606.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69101 to 414606
Convert 1326 to 13332606

Step 4: Add the Numerators

Add the numerators: 414 + 13332 = 13746

Step 5: Simplify the Fraction

We can simplify 13746606 to its lowest form.
The greatest common divisor (GCD) of 13746 and 606 is 6.
Dividing both numerator and denominator by the GCD, we get 2291101.

Step 6: Convert to Mixed Number

The fraction 2291101 can be written as the mixed number 2269101.

Final Answer

The result of 69/101 added to 132/6 is:

69101+1326=2269101

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).

Fraction Calculator

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