48/168 added to 99/4 in Fraction Form

The result of 48/168 added to 99/4 is: 25 1/28

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 48168 and 994.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 168 and 4 is 168.

Step 3: Convert Fractions to Equivalent Fractions

Convert 48168 to 48168
Convert 994 to 4158168

Step 4: Add the Numerators

Add the numerators: 48 + 4158 = 4206

Step 5: Simplify the Fraction

We can simplify 4206168 to its lowest form.
The greatest common divisor (GCD) of 4206 and 168 is 6.
Dividing both numerator and denominator by the GCD, we get 70128.

Step 6: Convert to Mixed Number

The fraction 70128 can be written as the mixed number 25128.

Final Answer

The result of 48/168 added to 99/4 is:

48168+994=25128

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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