20/170 added to 94/3 in Fraction Form

The result of 20/170 added to 94/3 is: 31 23/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20170 and 943.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 170 and 3 is 510.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20170 to 60510
Convert 943 to 15980510

Step 4: Add the Numerators

Add the numerators: 60 + 15980 = 16040

Step 5: Simplify the Fraction

We can simplify 16040510 to its lowest form.
The greatest common divisor (GCD) of 16040 and 510 is 10.
Dividing both numerator and denominator by the GCD, we get 160451.

Step 6: Convert to Mixed Number

The fraction 160451 can be written as the mixed number 312351.

Final Answer

The result of 20/170 added to 94/3 is:

20170+943=312351

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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