153/46 added to 99/6 in Fraction Form

The result of 153/46 added to 99/6 is: 19 19/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15346 and 996.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 46 and 6 is 138.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15346 to 459138
Convert 996 to 2277138

Step 4: Add the Numerators

Add the numerators: 459 + 2277 = 2736

Step 5: Simplify the Fraction

We can simplify 2736138 to its lowest form.
The greatest common divisor (GCD) of 2736 and 138 is 6.
Dividing both numerator and denominator by the GCD, we get 45623.

Step 6: Convert to Mixed Number

The fraction 45623 can be written as the mixed number 191923.

Final Answer

The result of 153/46 added to 99/6 is:

15346+996=191923

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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