158/101 added to 12/3 in Fraction Form

The result of 158/101 added to 12/3 is: 5 57/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 158101 and 123.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 3 is 303.

Step 3: Convert Fractions to Equivalent Fractions

Convert 158101 to 474303
Convert 123 to 1212303

Step 4: Add the Numerators

Add the numerators: 474 + 1212 = 1686

Step 5: Simplify the Fraction

We can simplify 1686303 to its lowest form.
The greatest common divisor (GCD) of 1686 and 303 is 3.
Dividing both numerator and denominator by the GCD, we get 562101.

Step 6: Convert to Mixed Number

The fraction 562101 can be written as the mixed number 557101.

Final Answer

The result of 158/101 added to 12/3 is:

158101+123=557101

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: