16/45 added to 12/4 in Fraction Form

The result of 16/45 added to 12/4 is: 3 16/45

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1645 and 124.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 45 and 4 is 180.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1645 to 64180
Convert 124 to 540180

Step 4: Add the Numerators

Add the numerators: 64 + 540 = 604

Step 5: Simplify the Fraction

We can simplify 604180 to its lowest form.
The greatest common divisor (GCD) of 604 and 180 is 4.
Dividing both numerator and denominator by the GCD, we get 15145.

Step 6: Convert to Mixed Number

The fraction 15145 can be written as the mixed number 31645.

Final Answer

The result of 16/45 added to 12/4 is:

1645+124=31645

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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