27/19 added to 94/4 in Fraction Form

The result of 27/19 added to 94/4 is: 24 35/38

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2719 and 944.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 19 and 4 is 76.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2719 to 10876
Convert 944 to 178676

Step 4: Add the Numerators

Add the numerators: 108 + 1786 = 1894

Step 5: Simplify the Fraction

We can simplify 189476 to its lowest form.
The greatest common divisor (GCD) of 1894 and 76 is 2.
Dividing both numerator and denominator by the GCD, we get 94738.

Step 6: Convert to Mixed Number

The fraction 94738 can be written as the mixed number 243538.

Final Answer

The result of 27/19 added to 94/4 is:

2719+944=243538

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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