19/30 added to 4/4 in Fraction Form

The result of 19/30 added to 4/4 is: 1 19/30

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1930 and 44.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 30 and 4 is 60.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1930 to 3860
Convert 44 to 6060

Step 4: Add the Numerators

Add the numerators: 38 + 60 = 98

Step 5: Simplify the Fraction

We can simplify 9860 to its lowest form.
The greatest common divisor (GCD) of 98 and 60 is 2.
Dividing both numerator and denominator by the GCD, we get 4930.

Step 6: Convert to Mixed Number

The fraction 4930 can be written as the mixed number 11930.

Final Answer

The result of 19/30 added to 4/4 is:

1930+44=11930

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).

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