73/9 added to 154/2 in Fraction Form

The result of 73/9 added to 154/2 is: 85 1/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 739 and 1542.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 2 is 18.

Step 3: Convert Fractions to Equivalent Fractions

Convert 739 to 14618
Convert 1542 to 138618

Step 4: Add the Numerators

Add the numerators: 146 + 1386 = 1532

Step 5: Simplify the Fraction

We can simplify 153218 to its lowest form.
The greatest common divisor (GCD) of 1532 and 18 is 2.
Dividing both numerator and denominator by the GCD, we get 7669.

Step 6: Convert to Mixed Number

The fraction 7669 can be written as the mixed number 8519.

Final Answer

The result of 73/9 added to 154/2 is:

739+1542=8519

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: