27/155 added to 156/4 in Fraction Form

The result of 27/155 added to 156/4 is: 39 27/155

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 27155 and 1564.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 155 and 4 is 620.

Step 3: Convert Fractions to Equivalent Fractions

Convert 27155 to 108620
Convert 1564 to 24180620

Step 4: Add the Numerators

Add the numerators: 108 + 24180 = 24288

Step 5: Simplify the Fraction

We can simplify 24288620 to its lowest form.
The greatest common divisor (GCD) of 24288 and 620 is 4.
Dividing both numerator and denominator by the GCD, we get 6072155.

Step 6: Convert to Mixed Number

The fraction 6072155 can be written as the mixed number 3927155.

Final Answer

The result of 27/155 added to 156/4 is:

27155+1564=3927155

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: