10/8 added to 23/3 in Fraction Form

The result of 10/8 added to 23/3 is: 8 11/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 108 and 233.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 8 and 3 is 24.

Step 3: Convert Fractions to Equivalent Fractions

Convert 108 to 3024
Convert 233 to 18424

Step 4: Add the Numerators

Add the numerators: 30 + 184 = 214

Step 5: Simplify the Fraction

We can simplify 21424 to its lowest form.
The greatest common divisor (GCD) of 214 and 24 is 2.
Dividing both numerator and denominator by the GCD, we get 10712.

Step 6: Convert to Mixed Number

The fraction 10712 can be written as the mixed number 81112.

Final Answer

The result of 10/8 added to 23/3 is:

108+233=81112

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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