64/21 added to 6/4 in Fraction Form

The result of 64/21 added to 6/4 is: 4 23/42

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6421 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 6421 to 25684
Convert 64 to 12684

Step 4: Add the Numerators

Add the numerators: 256 + 126 = 382

Step 5: Simplify the Fraction

We can simplify 38284 to its lowest form.
The greatest common divisor (GCD) of 382 and 84 is 2.
Dividing both numerator and denominator by the GCD, we get 19142.

Step 6: Convert to Mixed Number

The fraction 19142 can be written as the mixed number 42342.

Final Answer

The result of 64/21 added to 6/4 is:

6421+64=42342

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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