127/149 added to 46/4 in Fraction Form

The result of 127/149 added to 46/4 is: 12 105/298

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127149 and 464.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 149 and 4 is 596.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127149 to 508596
Convert 464 to 6854596

Step 4: Add the Numerators

Add the numerators: 508 + 6854 = 7362

Step 5: Simplify the Fraction

We can simplify 7362596 to its lowest form.
The greatest common divisor (GCD) of 7362 and 596 is 2.
Dividing both numerator and denominator by the GCD, we get 3681298.

Step 6: Convert to Mixed Number

The fraction 3681298 can be written as the mixed number 12105298.

Final Answer

The result of 127/149 added to 46/4 is:

127149+464=12105298

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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