148/168 added to 4/2 in Fraction Form

The result of 148/168 added to 4/2 is: 2 37/42

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 148168 and 42.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 168 and 2 is 168.

Step 3: Convert Fractions to Equivalent Fractions

Convert 148168 to 148168
Convert 42 to 336168

Step 4: Add the Numerators

Add the numerators: 148 + 336 = 484

Step 5: Simplify the Fraction

We can simplify 484168 to its lowest form.
The greatest common divisor (GCD) of 484 and 168 is 4.
Dividing both numerator and denominator by the GCD, we get 12142.

Step 6: Convert to Mixed Number

The fraction 12142 can be written as the mixed number 23742.

Final Answer

The result of 148/168 added to 4/2 is:

148168+42=23742

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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