30/154 added to 20/3 in Fraction Form

The result of 30/154 added to 20/3 is: 6 199/231

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 30154 and 203.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 154 and 3 is 462.

Step 3: Convert Fractions to Equivalent Fractions

Convert 30154 to 90462
Convert 203 to 3080462

Step 4: Add the Numerators

Add the numerators: 90 + 3080 = 3170

Step 5: Simplify the Fraction

We can simplify 3170462 to its lowest form.
The greatest common divisor (GCD) of 3170 and 462 is 2.
Dividing both numerator and denominator by the GCD, we get 1585231.

Step 6: Convert to Mixed Number

The fraction 1585231 can be written as the mixed number 6199231.

Final Answer

The result of 30/154 added to 20/3 is:

30154+203=6199231

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).

Fraction Calculator

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