16/19 added to 42/6 in Fraction Form

The result of 16/19 added to 42/6 is: 7 16/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1619 and 426.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 19 and 6 is 114.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1619 to 96114
Convert 426 to 798114

Step 4: Add the Numerators

Add the numerators: 96 + 798 = 894

Step 5: Simplify the Fraction

We can simplify 894114 to its lowest form.
The greatest common divisor (GCD) of 894 and 114 is 6.
Dividing both numerator and denominator by the GCD, we get 14919.

Step 6: Convert to Mixed Number

The fraction 14919 can be written as the mixed number 71619.

Final Answer

The result of 16/19 added to 42/6 is:

1619+426=71619

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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