44/213 added to 74/4 in Fraction Form

The result of 44/213 added to 74/4 is: 18 301/426

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 44213 and 744.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 4 is 852.

Step 3: Convert Fractions to Equivalent Fractions

Convert 44213 to 176852
Convert 744 to 15762852

Step 4: Add the Numerators

Add the numerators: 176 + 15762 = 15938

Step 5: Simplify the Fraction

We can simplify 15938852 to its lowest form.
The greatest common divisor (GCD) of 15938 and 852 is 2.
Dividing both numerator and denominator by the GCD, we get 7969426.

Step 6: Convert to Mixed Number

The fraction 7969426 can be written as the mixed number 18301426.

Final Answer

The result of 44/213 added to 74/4 is:

44213+744=18301426

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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