233/5 added to 48/3 in Fraction Form

The result of 233/5 added to 48/3 is: 62 3/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2335 and 483.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 5 and 3 is 15.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2335 to 69915
Convert 483 to 24015

Step 4: Add the Numerators

Add the numerators: 699 + 240 = 939

Step 5: Simplify the Fraction

We can simplify 93915 to its lowest form.
The greatest common divisor (GCD) of 939 and 15 is 3.
Dividing both numerator and denominator by the GCD, we get 3135.

Step 6: Convert to Mixed Number

The fraction 3135 can be written as the mixed number 6235.

Final Answer

The result of 233/5 added to 48/3 is:

2335+483=6235

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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