42/228 added to 41/2 in Fraction Form

The result of 42/228 added to 41/2 is: 20 13/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 42228 and 412.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 228 and 2 is 228.

Step 3: Convert Fractions to Equivalent Fractions

Convert 42228 to 42228
Convert 412 to 4674228

Step 4: Add the Numerators

Add the numerators: 42 + 4674 = 4716

Step 5: Simplify the Fraction

We can simplify 4716228 to its lowest form.
The greatest common divisor (GCD) of 4716 and 228 is 12.
Dividing both numerator and denominator by the GCD, we get 39319.

Step 6: Convert to Mixed Number

The fraction 39319 can be written as the mixed number 201319.

Final Answer

The result of 42/228 added to 41/2 is:

42228+412=201319

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).

Fraction Calculator

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