15/45 added to 13/2 in Fraction Form

The result of 15/45 added to 13/2 is: 6 5/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1545 and 132.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 45 and 2 is 90.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1545 to 3090
Convert 132 to 58590

Step 4: Add the Numerators

Add the numerators: 30 + 585 = 615

Step 5: Simplify the Fraction

We can simplify 61590 to its lowest form.
The greatest common divisor (GCD) of 615 and 90 is 15.
Dividing both numerator and denominator by the GCD, we get 416.

Step 6: Convert to Mixed Number

The fraction 416 can be written as the mixed number 656.

Final Answer

The result of 15/45 added to 13/2 is:

1545+132=656

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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