46/16 added to 213/6 in Fraction Form

The result of 46/16 added to 213/6 is: 38 3/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4616 and 2136.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 16 and 6 is 48.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4616 to 13848
Convert 2136 to 170448

Step 4: Add the Numerators

Add the numerators: 138 + 1704 = 1842

Step 5: Simplify the Fraction

We can simplify 184248 to its lowest form.
The greatest common divisor (GCD) of 1842 and 48 is 6.
Dividing both numerator and denominator by the GCD, we get 3078.

Step 6: Convert to Mixed Number

The fraction 3078 can be written as the mixed number 3838.

Final Answer

The result of 46/16 added to 213/6 is:

4616+2136=3838

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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