262/15 added to 10/3 in Fraction Form

The result of 262/15 added to 10/3 is: 20 4/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 26215 and 103.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 15 and 3 is 15.

Step 3: Convert Fractions to Equivalent Fractions

Convert 26215 to 26215
Convert 103 to 5015

Step 4: Add the Numerators

Add the numerators: 262 + 50 = 312

Step 5: Simplify the Fraction

We can simplify 31215 to its lowest form.
The greatest common divisor (GCD) of 312 and 15 is 3.
Dividing both numerator and denominator by the GCD, we get 1045.

Step 6: Convert to Mixed Number

The fraction 1045 can be written as the mixed number 2045.

Final Answer

The result of 262/15 added to 10/3 is:

26215+103=2045

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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