102/154 added to 23/3 in Fraction Form

The result of 102/154 added to 23/3 is: 8 76/231

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 102154 and 233.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 154 and 3 is 462.

Step 3: Convert Fractions to Equivalent Fractions

Convert 102154 to 306462
Convert 233 to 3542462

Step 4: Add the Numerators

Add the numerators: 306 + 3542 = 3848

Step 5: Simplify the Fraction

We can simplify 3848462 to its lowest form.
The greatest common divisor (GCD) of 3848 and 462 is 2.
Dividing both numerator and denominator by the GCD, we get 1924231.

Step 6: Convert to Mixed Number

The fraction 1924231 can be written as the mixed number 876231.

Final Answer

The result of 102/154 added to 23/3 is:

102154+233=876231

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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