15/262 added to 28/4 in Fraction Form

The result of 15/262 added to 28/4 is: 7 15/262

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15262 and 284.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 262 and 4 is 524.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15262 to 30524
Convert 284 to 3668524

Step 4: Add the Numerators

Add the numerators: 30 + 3668 = 3698

Step 5: Simplify the Fraction

We can simplify 3698524 to its lowest form.
The greatest common divisor (GCD) of 3698 and 524 is 2.
Dividing both numerator and denominator by the GCD, we get 1849262.

Step 6: Convert to Mixed Number

The fraction 1849262 can be written as the mixed number 715262.

Final Answer

The result of 15/262 added to 28/4 is:

15262+284=715262

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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