46/19 added to 9/6 in Fraction Form

The result of 46/19 added to 9/6 is: 3 35/38

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4619 and 96.

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 4619 to 276114
Convert 96 to 171114

Step 4: Add the Numerators

Add the numerators: 276 + 171 = 447

Step 5: Simplify the Fraction

We can simplify 447114 to its lowest form.
The greatest common divisor (GCD) of 447 and 114 is 3.
Dividing both numerator and denominator by the GCD, we get 14938.

Step 6: Convert to Mixed Number

The fraction 14938 can be written as the mixed number 33538.

Final Answer

The result of 46/19 added to 9/6 is:

4619+96=33538

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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