153/81 added to 97/2 in Fraction Form

The result of 153/81 added to 97/2 is: 50 7/18

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15381 and 972.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 2 is 162.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15381 to 306162
Convert 972 to 7857162

Step 4: Add the Numerators

Add the numerators: 306 + 7857 = 8163

Step 5: Simplify the Fraction

We can simplify 8163162 to its lowest form.
The greatest common divisor (GCD) of 8163 and 162 is 9.
Dividing both numerator and denominator by the GCD, we get 90718.

Step 6: Convert to Mixed Number

The fraction 90718 can be written as the mixed number 50718.

Final Answer

The result of 153/81 added to 97/2 is:

15381+972=50718

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: