17/151 added to 12/4 in Fraction Form

The result of 17/151 added to 12/4 is: 3 17/151

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17151 and 124.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 151 and 4 is 604.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17151 to 68604
Convert 124 to 1812604

Step 4: Add the Numerators

Add the numerators: 68 + 1812 = 1880

Step 5: Simplify the Fraction

We can simplify 1880604 to its lowest form.
The greatest common divisor (GCD) of 1880 and 604 is 4.
Dividing both numerator and denominator by the GCD, we get 470151.

Step 6: Convert to Mixed Number

The fraction 470151 can be written as the mixed number 317151.

Final Answer

The result of 17/151 added to 12/4 is:

17151+124=317151

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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