182/48 added to 48/4 in Fraction Form

The result of 182/48 added to 48/4 is: 15 19/24

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18248 and 484.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 48 and 4 is 48.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18248 to 18248
Convert 484 to 57648

Step 4: Add the Numerators

Add the numerators: 182 + 576 = 758

Step 5: Simplify the Fraction

We can simplify 75848 to its lowest form.
The greatest common divisor (GCD) of 758 and 48 is 2.
Dividing both numerator and denominator by the GCD, we get 37924.

Step 6: Convert to Mixed Number

The fraction 37924 can be written as the mixed number 151924.

Final Answer

The result of 182/48 added to 48/4 is:

18248+484=151924

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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