15/20 added to 31/2 in Fraction Form

The result of 15/20 added to 31/2 is: 16 1/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1520 and 312.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 20 and 2 is 20.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1520 to 1520
Convert 312 to 31020

Step 4: Add the Numerators

Add the numerators: 15 + 310 = 325

Step 5: Simplify the Fraction

We can simplify 32520 to its lowest form.
The greatest common divisor (GCD) of 325 and 20 is 5.
Dividing both numerator and denominator by the GCD, we get 654.

Step 6: Convert to Mixed Number

The fraction 654 can be written as the mixed number 1614.

Final Answer

The result of 15/20 added to 31/2 is:

1520+312=1614

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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