38/53 added to 15/6 in Fraction Form

The result of 38/53 added to 15/6 is: 3 23/106

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3853 and 156.

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 156 to 795318

Step 4: Add the Numerators

Add the numerators: 228 + 795 = 1023

Step 5: Simplify the Fraction

We can simplify 1023318 to its lowest form.
The greatest common divisor (GCD) of 1023 and 318 is 3.
Dividing both numerator and denominator by the GCD, we get 341106.

Step 6: Convert to Mixed Number

The fraction 341106 can be written as the mixed number 323106.

Final Answer

The result of 38/53 added to 15/6 is:

3853+156=323106

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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