7/101 added to 69/6 in Fraction Form

The result of 7/101 added to 69/6 is: 11 115/202

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7101 and 696.

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 7101 to 42606
Convert 696 to 6969606

Step 4: Add the Numerators

Add the numerators: 42 + 6969 = 7011

Step 5: Simplify the Fraction

We can simplify 7011606 to its lowest form.
The greatest common divisor (GCD) of 7011 and 606 is 3.
Dividing both numerator and denominator by the GCD, we get 2337202.

Step 6: Convert to Mixed Number

The fraction 2337202 can be written as the mixed number 11115202.

Final Answer

The result of 7/101 added to 69/6 is:

7101+696=11115202

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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