15/8 added to 72/3 in Fraction Form

The result of 15/8 added to 72/3 is: 25 7/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 158 and 723.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 8 and 3 is 24.

Step 3: Convert Fractions to Equivalent Fractions

Convert 158 to 4524
Convert 723 to 57624

Step 4: Add the Numerators

Add the numerators: 45 + 576 = 621

Step 5: Simplify the Fraction

We can simplify 62124 to its lowest form.
The greatest common divisor (GCD) of 621 and 24 is 3.
Dividing both numerator and denominator by the GCD, we get 2078.

Step 6: Convert to Mixed Number

The fraction 2078 can be written as the mixed number 2578.

Final Answer

The result of 15/8 added to 72/3 is:

158+723=2578

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: