146/127 added to 46/4 in Fraction Form

The result of 146/127 added to 46/4 is: 12 165/254

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 146127 and 464.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 4 is 508.

Step 3: Convert Fractions to Equivalent Fractions

Convert 146127 to 584508
Convert 464 to 5842508

Step 4: Add the Numerators

Add the numerators: 584 + 5842 = 6426

Step 5: Simplify the Fraction

We can simplify 6426508 to its lowest form.
The greatest common divisor (GCD) of 6426 and 508 is 2.
Dividing both numerator and denominator by the GCD, we get 3213254.

Step 6: Convert to Mixed Number

The fraction 3213254 can be written as the mixed number 12165254.

Final Answer

The result of 146/127 added to 46/4 is:

146127+464=12165254

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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