38/171 added to 71/2 in Fraction Form

The result of 38/171 added to 71/2 is: 35 13/18

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 38171 and 712.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 171 and 2 is 342.

Step 3: Convert Fractions to Equivalent Fractions

Convert 38171 to 76342
Convert 712 to 12141342

Step 4: Add the Numerators

Add the numerators: 76 + 12141 = 12217

Step 5: Simplify the Fraction

We can simplify 12217342 to its lowest form.
The greatest common divisor (GCD) of 12217 and 342 is 19.
Dividing both numerator and denominator by the GCD, we get 64318.

Step 6: Convert to Mixed Number

The fraction 64318 can be written as the mixed number 351318.

Final Answer

The result of 38/171 added to 71/2 is:

38171+712=351318

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

Calculate operations between any two fractions: