83/42 added to 170/4 in Fraction Form

The result of 83/42 added to 170/4 is: 44 10/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8342 and 1704.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 42 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8342 to 16684
Convert 1704 to 357084

Step 4: Add the Numerators

Add the numerators: 166 + 3570 = 3736

Step 5: Simplify the Fraction

We can simplify 373684 to its lowest form.
The greatest common divisor (GCD) of 3736 and 84 is 4.
Dividing both numerator and denominator by the GCD, we get 93421.

Step 6: Convert to Mixed Number

The fraction 93421 can be written as the mixed number 441021.

Final Answer

The result of 83/42 added to 170/4 is:

8342+1704=441021

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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