38/64 added to 210/4 in Fraction Form

The result of 38/64 added to 210/4 is: 53 3/32

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3864 and 2104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 64 and 4 is 64.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3864 to 3864
Convert 2104 to 336064

Step 4: Add the Numerators

Add the numerators: 38 + 3360 = 3398

Step 5: Simplify the Fraction

We can simplify 339864 to its lowest form.
The greatest common divisor (GCD) of 3398 and 64 is 2.
Dividing both numerator and denominator by the GCD, we get 169932.

Step 6: Convert to Mixed Number

The fraction 169932 can be written as the mixed number 53332.

Final Answer

The result of 38/64 added to 210/4 is:

3864+2104=53332

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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