69/21 added to 27/8 in Fraction Form

The result of 69/21 added to 27/8 is: 6 37/56

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6921 and 278.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 8 is 168.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6921 to 552168
Convert 278 to 567168

Step 4: Add the Numerators

Add the numerators: 552 + 567 = 1119

Step 5: Simplify the Fraction

We can simplify 1119168 to its lowest form.
The greatest common divisor (GCD) of 1119 and 168 is 3.
Dividing both numerator and denominator by the GCD, we get 37356.

Step 6: Convert to Mixed Number

The fraction 37356 can be written as the mixed number 63756.

Final Answer

The result of 69/21 added to 27/8 is:

6921+278=63756

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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