15/50 added to 10/3 in Fraction Form

The result of 15/50 added to 10/3 is: 3 19/30

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1550 and 103.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 50 and 3 is 150.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1550 to 45150
Convert 103 to 500150

Step 4: Add the Numerators

Add the numerators: 45 + 500 = 545

Step 5: Simplify the Fraction

We can simplify 545150 to its lowest form.
The greatest common divisor (GCD) of 545 and 150 is 5.
Dividing both numerator and denominator by the GCD, we get 10930.

Step 6: Convert to Mixed Number

The fraction 10930 can be written as the mixed number 31930.

Final Answer

The result of 15/50 added to 10/3 is:

1550+103=31930

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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