153/86 added to 4/4 in Fraction Form

The result of 153/86 added to 4/4 is: 2 67/86

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15386 and 44.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 86 and 4 is 172.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15386 to 306172
Convert 44 to 172172

Step 4: Add the Numerators

Add the numerators: 306 + 172 = 478

Step 5: Simplify the Fraction

We can simplify 478172 to its lowest form.
The greatest common divisor (GCD) of 478 and 172 is 2.
Dividing both numerator and denominator by the GCD, we get 23986.

Step 6: Convert to Mixed Number

The fraction 23986 can be written as the mixed number 26786.

Final Answer

The result of 153/86 added to 4/4 is:

15386+44=26786

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: