141/12 added to 154/4 in Fraction Form

The result of 141/12 added to 154/4 is: 50 1/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14112 and 1544.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 12 and 4 is 12.

Step 3: Convert Fractions to Equivalent Fractions

Convert 14112 to 14112
Convert 1544 to 46212

Step 4: Add the Numerators

Add the numerators: 141 + 462 = 603

Step 5: Simplify the Fraction

We can simplify 60312 to its lowest form.
The greatest common divisor (GCD) of 603 and 12 is 3.
Dividing both numerator and denominator by the GCD, we get 2014.

Step 6: Convert to Mixed Number

The fraction 2014 can be written as the mixed number 5014.

Final Answer

The result of 141/12 added to 154/4 is:

14112+1544=5014

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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