207/7 added to 8/6 in Fraction Form

The result of 207/7 added to 8/6 is: 30 19/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2077 and 86.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 6 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2077 to 124242
Convert 86 to 5642

Step 4: Add the Numerators

Add the numerators: 1242 + 56 = 1298

Step 5: Simplify the Fraction

We can simplify 129842 to its lowest form.
The greatest common divisor (GCD) of 1298 and 42 is 2.
Dividing both numerator and denominator by the GCD, we get 64921.

Step 6: Convert to Mixed Number

The fraction 64921 can be written as the mixed number 301921.

Final Answer

The result of 207/7 added to 8/6 is:

2077+86=301921

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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