153/100 added to 30/3 in Fraction Form

The result of 153/100 added to 30/3 is: 11 53/100

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 153100 and 303.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 100 and 3 is 300.

Step 3: Convert Fractions to Equivalent Fractions

Convert 153100 to 459300
Convert 303 to 3000300

Step 4: Add the Numerators

Add the numerators: 459 + 3000 = 3459

Step 5: Simplify the Fraction

We can simplify 3459300 to its lowest form.
The greatest common divisor (GCD) of 3459 and 300 is 3.
Dividing both numerator and denominator by the GCD, we get 1153100.

Step 6: Convert to Mixed Number

The fraction 1153100 can be written as the mixed number 1153100.

Final Answer

The result of 153/100 added to 30/3 is:

153100+303=1153100

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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