81/237 added to 6/4 in Fraction Form

The result of 81/237 added to 6/4 is: 1 133/158

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 81237 and 64.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 237 and 4 is 948.

Step 3: Convert Fractions to Equivalent Fractions

Convert 81237 to 324948
Convert 64 to 1422948

Step 4: Add the Numerators

Add the numerators: 324 + 1422 = 1746

Step 5: Simplify the Fraction

We can simplify 1746948 to its lowest form.
The greatest common divisor (GCD) of 1746 and 948 is 6.
Dividing both numerator and denominator by the GCD, we get 291158.

Step 6: Convert to Mixed Number

The fraction 291158 can be written as the mixed number 1133158.

Final Answer

The result of 81/237 added to 6/4 is:

81237+64=1133158

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: