157/101 added to 9/6 in Fraction Form

The result of 157/101 added to 9/6 is: 3 11/202

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 157101 and 96.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 6 is 606.

Step 3: Convert Fractions to Equivalent Fractions

Convert 157101 to 942606
Convert 96 to 909606

Step 4: Add the Numerators

Add the numerators: 942 + 909 = 1851

Step 5: Simplify the Fraction

We can simplify 1851606 to its lowest form.
The greatest common divisor (GCD) of 1851 and 606 is 3.
Dividing both numerator and denominator by the GCD, we get 617202.

Step 6: Convert to Mixed Number

The fraction 617202 can be written as the mixed number 311202.

Final Answer

The result of 157/101 added to 9/6 is:

157101+96=311202

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: