51/170 added to 101/4 in Fraction Form

The result of 51/170 added to 101/4 is: 25 11/20

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 51170 and 1014.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 170 and 4 is 340.

Step 3: Convert Fractions to Equivalent Fractions

Convert 51170 to 102340
Convert 1014 to 8585340

Step 4: Add the Numerators

Add the numerators: 102 + 8585 = 8687

Step 5: Simplify the Fraction

We can simplify 8687340 to its lowest form.
The greatest common divisor (GCD) of 8687 and 340 is 17.
Dividing both numerator and denominator by the GCD, we get 51120.

Step 6: Convert to Mixed Number

The fraction 51120 can be written as the mixed number 251120.

Final Answer

The result of 51/170 added to 101/4 is:

51170+1014=251120

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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