10/235 added to 2/2 in Fraction Form

The result of 10/235 added to 2/2 is: 1 2/47

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10235 and 22.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 235 and 2 is 470.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10235 to 20470
Convert 22 to 470470

Step 4: Add the Numerators

Add the numerators: 20 + 470 = 490

Step 5: Simplify the Fraction

We can simplify 490470 to its lowest form.
The greatest common divisor (GCD) of 490 and 470 is 10.
Dividing both numerator and denominator by the GCD, we get 4947.

Step 6: Convert to Mixed Number

The fraction 4947 can be written as the mixed number 1247.

Final Answer

The result of 10/235 added to 2/2 is:

10235+22=1247

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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