154/20 added to 99/3 in Fraction Form

The result of 154/20 added to 99/3 is: 40 7/10

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15420 and 993.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 20 and 3 is 60.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15420 to 46260
Convert 993 to 198060

Step 4: Add the Numerators

Add the numerators: 462 + 1980 = 2442

Step 5: Simplify the Fraction

We can simplify 244260 to its lowest form.
The greatest common divisor (GCD) of 2442 and 60 is 6.
Dividing both numerator and denominator by the GCD, we get 40710.

Step 6: Convert to Mixed Number

The fraction 40710 can be written as the mixed number 40710.

Final Answer

The result of 154/20 added to 99/3 is:

15420+993=40710

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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