176/101 added to 24/3 in Fraction Form

The result of 176/101 added to 24/3 is: 9 75/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 176101 and 243.

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 176101 to 528303
Convert 243 to 2424303

Step 4: Add the Numerators

Add the numerators: 528 + 2424 = 2952

Step 5: Simplify the Fraction

We can simplify 2952303 to its lowest form.
The greatest common divisor (GCD) of 2952 and 303 is 3.
Dividing both numerator and denominator by the GCD, we get 984101.

Step 6: Convert to Mixed Number

The fraction 984101 can be written as the mixed number 975101.

Final Answer

The result of 176/101 added to 24/3 is:

176101+243=975101

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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