199/10 added to 69/2 in Fraction Form

The result of 199/10 added to 69/2 is: 54 2/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 19910 and 692.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 10 and 2 is 10.

Step 3: Convert Fractions to Equivalent Fractions

Convert 19910 to 19910
Convert 692 to 34510

Step 4: Add the Numerators

Add the numerators: 199 + 345 = 544

Step 5: Simplify the Fraction

We can simplify 54410 to its lowest form.
The greatest common divisor (GCD) of 544 and 10 is 2.
Dividing both numerator and denominator by the GCD, we get 2725.

Step 6: Convert to Mixed Number

The fraction 2725 can be written as the mixed number 5425.

Final Answer

The result of 199/10 added to 69/2 is:

19910+692=5425

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).

Fraction Calculator

Calculate operations between any two fractions: