7/83 added to 170/4 in Fraction Form

The result of 7/83 added to 170/4 is: 42 97/166

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 783 and 1704.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 83 and 4 is 332.

Step 3: Convert Fractions to Equivalent Fractions

Convert 783 to 28332
Convert 1704 to 14110332

Step 4: Add the Numerators

Add the numerators: 28 + 14110 = 14138

Step 5: Simplify the Fraction

We can simplify 14138332 to its lowest form.
The greatest common divisor (GCD) of 14138 and 332 is 2.
Dividing both numerator and denominator by the GCD, we get 7069166.

Step 6: Convert to Mixed Number

The fraction 7069166 can be written as the mixed number 4297166.

Final Answer

The result of 7/83 added to 170/4 is:

783+1704=4297166

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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