10/190 added to 2/3 in Fraction Form

The result of 10/190 added to 2/3 is: 41/57

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10190 and 23.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 190 and 3 is 570.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10190 to 30570
Convert 23 to 380570

Step 4: Add the Numerators

Add the numerators: 30 + 380 = 410

Step 5: Simplify the Fraction

We can simplify 410570 to its lowest form.
The greatest common divisor (GCD) of 410 and 570 is 10.
Dividing both numerator and denominator by the GCD, we get 4157.

Final Answer

The result of 10/190 added to 2/3 is:

10190+23=4157

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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