32/37 added to 213/6 in Fraction Form

The result of 32/37 added to 213/6 is: 36 27/74

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3237 and 2136.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 37 and 6 is 222.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3237 to 192222
Convert 2136 to 7881222

Step 4: Add the Numerators

Add the numerators: 192 + 7881 = 8073

Step 5: Simplify the Fraction

We can simplify 8073222 to its lowest form.
The greatest common divisor (GCD) of 8073 and 222 is 3.
Dividing both numerator and denominator by the GCD, we get 269174.

Step 6: Convert to Mixed Number

The fraction 269174 can be written as the mixed number 362774.

Final Answer

The result of 32/37 added to 213/6 is:

3237+2136=362774

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: