12/51 added to 170/2 in Fraction Form

The result of 12/51 added to 170/2 is: 85 4/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1251 and 1702.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 51 and 2 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1251 to 24102
Convert 1702 to 8670102

Step 4: Add the Numerators

Add the numerators: 24 + 8670 = 8694

Step 5: Simplify the Fraction

We can simplify 8694102 to its lowest form.
The greatest common divisor (GCD) of 8694 and 102 is 6.
Dividing both numerator and denominator by the GCD, we get 144917.

Step 6: Convert to Mixed Number

The fraction 144917 can be written as the mixed number 85417.

Final Answer

The result of 12/51 added to 170/2 is:

1251+1702=85417

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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