15/15 added to 81/4 in Fraction Form

The result of 15/15 added to 81/4 is: 21 1/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1515 and 814.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 15 and 4 is 60.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1515 to 6060
Convert 814 to 121560

Step 4: Add the Numerators

Add the numerators: 60 + 1215 = 1275

Step 5: Simplify the Fraction

We can simplify 127560 to its lowest form.
The greatest common divisor (GCD) of 1275 and 60 is 15.
Dividing both numerator and denominator by the GCD, we get 854.

Step 6: Convert to Mixed Number

The fraction 854 can be written as the mixed number 2114.

Final Answer

The result of 15/15 added to 81/4 is:

1515+814=2114

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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