11/237 added to 6/4 in Fraction Form

The result of 11/237 added to 6/4 is: 1 259/474

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11237 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 11237 to 44948
Convert 64 to 1422948

Step 4: Add the Numerators

Add the numerators: 44 + 1422 = 1466

Step 5: Simplify the Fraction

We can simplify 1466948 to its lowest form.
The greatest common divisor (GCD) of 1466 and 948 is 2.
Dividing both numerator and denominator by the GCD, we get 733474.

Step 6: Convert to Mixed Number

The fraction 733474 can be written as the mixed number 1259474.

Final Answer

The result of 11/237 added to 6/4 is:

11237+64=1259474

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

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