20/87 added to 194/3 in Fraction Form

The result of 20/87 added to 194/3 is: 64 26/29

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2087 and 1943.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 87 and 3 is 87.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2087 to 2087
Convert 1943 to 562687

Step 4: Add the Numerators

Add the numerators: 20 + 5626 = 5646

Step 5: Simplify the Fraction

We can simplify 564687 to its lowest form.
The greatest common divisor (GCD) of 5646 and 87 is 3.
Dividing both numerator and denominator by the GCD, we get 188229.

Step 6: Convert to Mixed Number

The fraction 188229 can be written as the mixed number 642629.

Final Answer

The result of 20/87 added to 194/3 is:

2087+1943=642629

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).

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