20/170 added to 96/4 in Fraction Form

The result of 20/170 added to 96/4 is: 24 2/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20170 and 964.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 170 and 4 is 340.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20170 to 40340
Convert 964 to 8160340

Step 4: Add the Numerators

Add the numerators: 40 + 8160 = 8200

Step 5: Simplify the Fraction

We can simplify 8200340 to its lowest form.
The greatest common divisor (GCD) of 8200 and 340 is 20.
Dividing both numerator and denominator by the GCD, we get 41017.

Step 6: Convert to Mixed Number

The fraction 41017 can be written as the mixed number 24217.

Final Answer

The result of 20/170 added to 96/4 is:

20170+964=24217

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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