12/101 added to 174/3 in Fraction Form

The result of 12/101 added to 174/3 is: 58 12/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12101 and 1743.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 3 is 303.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12101 to 36303
Convert 1743 to 17574303

Step 4: Add the Numerators

Add the numerators: 36 + 17574 = 17610

Step 5: Simplify the Fraction

We can simplify 17610303 to its lowest form.
The greatest common divisor (GCD) of 17610 and 303 is 3.
Dividing both numerator and denominator by the GCD, we get 5870101.

Step 6: Convert to Mixed Number

The fraction 5870101 can be written as the mixed number 5812101.

Final Answer

The result of 12/101 added to 174/3 is:

12101+1743=5812101

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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