24/178 added to 102/3 in Fraction Form

The result of 24/178 added to 102/3 is: 34 12/89

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24178 and 1023.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 178 and 3 is 534.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24178 to 72534
Convert 1023 to 18156534

Step 4: Add the Numerators

Add the numerators: 72 + 18156 = 18228

Step 5: Simplify the Fraction

We can simplify 18228534 to its lowest form.
The greatest common divisor (GCD) of 18228 and 534 is 6.
Dividing both numerator and denominator by the GCD, we get 303889.

Step 6: Convert to Mixed Number

The fraction 303889 can be written as the mixed number 341289.

Final Answer

The result of 24/178 added to 102/3 is:

24178+1023=341289

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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