51/21 added to 6/4 in Fraction Form

The result of 51/21 added to 6/4 is: 3 13/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5121 and 64.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5121 to 20484
Convert 64 to 12684

Step 4: Add the Numerators

Add the numerators: 204 + 126 = 330

Step 5: Simplify the Fraction

We can simplify 33084 to its lowest form.
The greatest common divisor (GCD) of 330 and 84 is 6.
Dividing both numerator and denominator by the GCD, we get 5514.

Step 6: Convert to Mixed Number

The fraction 5514 can be written as the mixed number 31314.

Final Answer

The result of 51/21 added to 6/4 is:

5121+64=31314

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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