15/120 added to 164/4 in Fraction Form

The result of 15/120 added to 164/4 is: 41 1/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15120 and 1644.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 120 and 4 is 120.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15120 to 15120
Convert 1644 to 4920120

Step 4: Add the Numerators

Add the numerators: 15 + 4920 = 4935

Step 5: Simplify the Fraction

We can simplify 4935120 to its lowest form.
The greatest common divisor (GCD) of 4935 and 120 is 15.
Dividing both numerator and denominator by the GCD, we get 3298.

Step 6: Convert to Mixed Number

The fraction 3298 can be written as the mixed number 4118.

Final Answer

The result of 15/120 added to 164/4 is:

15120+1644=4118

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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