117/170 added to 18/3 in Fraction Form

The result of 117/170 added to 18/3 is: 6 117/170

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 117170 and 183.

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 117170 to 351510
Convert 183 to 3060510

Step 4: Add the Numerators

Add the numerators: 351 + 3060 = 3411

Step 5: Simplify the Fraction

We can simplify 3411510 to its lowest form.
The greatest common divisor (GCD) of 3411 and 510 is 3.
Dividing both numerator and denominator by the GCD, we get 1137170.

Step 6: Convert to Mixed Number

The fraction 1137170 can be written as the mixed number 6117170.

Final Answer

The result of 117/170 added to 18/3 is:

117170+183=6117170

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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