30/8 added to 135/3 in Fraction Form

The result of 30/8 added to 135/3 is: 48 3/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 308 and 1353.

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 308 to 9024
Convert 1353 to 108024

Step 4: Add the Numerators

Add the numerators: 90 + 1080 = 1170

Step 5: Simplify the Fraction

We can simplify 117024 to its lowest form.
The greatest common divisor (GCD) of 1170 and 24 is 6.
Dividing both numerator and denominator by the GCD, we get 1954.

Step 6: Convert to Mixed Number

The fraction 1954 can be written as the mixed number 4834.

Final Answer

The result of 30/8 added to 135/3 is:

308+1353=4834

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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