38/53 added to 4/6 in Fraction Form

The result of 38/53 added to 4/6 is: 1 61/159

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3853 and 46.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 6 is 318.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3853 to 228318
Convert 46 to 212318

Step 4: Add the Numerators

Add the numerators: 228 + 212 = 440

Step 5: Simplify the Fraction

We can simplify 440318 to its lowest form.
The greatest common divisor (GCD) of 440 and 318 is 2.
Dividing both numerator and denominator by the GCD, we get 220159.

Step 6: Convert to Mixed Number

The fraction 220159 can be written as the mixed number 161159.

Final Answer

The result of 38/53 added to 4/6 is:

3853+46=161159

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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