4/176 added to 24/3 in Fraction Form

The result of 4/176 added to 24/3 is: 8 1/44

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4176 and 243.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 176 and 3 is 528.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4176 to 12528
Convert 243 to 4224528

Step 4: Add the Numerators

Add the numerators: 12 + 4224 = 4236

Step 5: Simplify the Fraction

We can simplify 4236528 to its lowest form.
The greatest common divisor (GCD) of 4236 and 528 is 12.
Dividing both numerator and denominator by the GCD, we get 35344.

Step 6: Convert to Mixed Number

The fraction 35344 can be written as the mixed number 8144.

Final Answer

The result of 4/176 added to 24/3 is:

4176+243=8144

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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