8/45 added to 6/4 in Fraction Form

The result of 8/45 added to 6/4 is: 1 61/90

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 845 and 64.

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 845 to 32180
Convert 64 to 270180

Step 4: Add the Numerators

Add the numerators: 32 + 270 = 302

Step 5: Simplify the Fraction

We can simplify 302180 to its lowest form.
The greatest common divisor (GCD) of 302 and 180 is 2.
Dividing both numerator and denominator by the GCD, we get 15190.

Step 6: Convert to Mixed Number

The fraction 15190 can be written as the mixed number 16190.

Final Answer

The result of 8/45 added to 6/4 is:

845+64=16190

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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