127/164 added to 24/3 in Fraction Form

The result of 127/164 added to 24/3 is: 8 127/164

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127164 and 243.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 164 and 3 is 492.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127164 to 381492
Convert 243 to 3936492

Step 4: Add the Numerators

Add the numerators: 381 + 3936 = 4317

Step 5: Simplify the Fraction

We can simplify 4317492 to its lowest form.
The greatest common divisor (GCD) of 4317 and 492 is 3.
Dividing both numerator and denominator by the GCD, we get 1439164.

Step 6: Convert to Mixed Number

The fraction 1439164 can be written as the mixed number 8127164.

Final Answer

The result of 127/164 added to 24/3 is:

127164+243=8127164

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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