238/32 added to 1/4 in Fraction Form

The result of 238/32 added to 1/4 is: 7 11/16

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23832 and 14.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 32 and 4 is 32.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23832 to 23832
Convert 14 to 832

Step 4: Add the Numerators

Add the numerators: 238 + 8 = 246

Step 5: Simplify the Fraction

We can simplify 24632 to its lowest form.
The greatest common divisor (GCD) of 246 and 32 is 2.
Dividing both numerator and denominator by the GCD, we get 12316.

Step 6: Convert to Mixed Number

The fraction 12316 can be written as the mixed number 71116.

Final Answer

The result of 238/32 added to 1/4 is:

23832+14=71116

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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