20/15 added to 25/4 in Fraction Form

The result of 20/15 added to 25/4 is: 7 7/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2015 and 254.

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 2015 to 8060
Convert 254 to 37560

Step 4: Add the Numerators

Add the numerators: 80 + 375 = 455

Step 5: Simplify the Fraction

We can simplify 45560 to its lowest form.
The greatest common divisor (GCD) of 455 and 60 is 5.
Dividing both numerator and denominator by the GCD, we get 9112.

Step 6: Convert to Mixed Number

The fraction 9112 can be written as the mixed number 7712.

Final Answer

The result of 20/15 added to 25/4 is:

2015+254=7712

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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