252/16 added to 11/4 in Fraction Form

The result of 252/16 added to 11/4 is: 18 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 25216 and 114.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 16 and 4 is 16.

Step 3: Convert Fractions to Equivalent Fractions

Convert 25216 to 25216
Convert 114 to 4416

Step 4: Add the Numerators

Add the numerators: 252 + 44 = 296

Step 5: Simplify the Fraction

We can simplify 29616 to its lowest form.
The greatest common divisor (GCD) of 296 and 16 is 8.
Dividing both numerator and denominator by the GCD, we get 372.

Step 6: Convert to Mixed Number

The fraction 372 can be written as the mixed number 1812.

Final Answer

The result of 252/16 added to 11/4 is:

25216+114=1812

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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