18/45 added to 139/4 in Fraction Form

The result of 18/45 added to 139/4 is: 35 3/20

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1845 and 1394.

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 1845 to 72180
Convert 1394 to 6255180

Step 4: Add the Numerators

Add the numerators: 72 + 6255 = 6327

Step 5: Simplify the Fraction

We can simplify 6327180 to its lowest form.
The greatest common divisor (GCD) of 6327 and 180 is 9.
Dividing both numerator and denominator by the GCD, we get 70320.

Step 6: Convert to Mixed Number

The fraction 70320 can be written as the mixed number 35320.

Final Answer

The result of 18/45 added to 139/4 is:

1845+1394=35320

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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