124/168 added to 4/3 in Fraction Form

The result of 124/168 added to 4/3 is: 2 1/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 124168 and 43.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 168 and 3 is 168.

Step 3: Convert Fractions to Equivalent Fractions

Convert 124168 to 124168
Convert 43 to 224168

Step 4: Add the Numerators

Add the numerators: 124 + 224 = 348

Step 5: Simplify the Fraction

We can simplify 348168 to its lowest form.
The greatest common divisor (GCD) of 348 and 168 is 12.
Dividing both numerator and denominator by the GCD, we get 2914.

Step 6: Convert to Mixed Number

The fraction 2914 can be written as the mixed number 2114.

Final Answer

The result of 124/168 added to 4/3 is:

124168+43=2114

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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