43/42 added to 4/4 in Fraction Form

The result of 43/42 added to 4/4 is: 2 1/42

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4342 and 44.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 42 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4342 to 8684
Convert 44 to 8484

Step 4: Add the Numerators

Add the numerators: 86 + 84 = 170

Step 5: Simplify the Fraction

We can simplify 17084 to its lowest form.
The greatest common divisor (GCD) of 170 and 84 is 2.
Dividing both numerator and denominator by the GCD, we get 8542.

Step 6: Convert to Mixed Number

The fraction 8542 can be written as the mixed number 2142.

Final Answer

The result of 43/42 added to 4/4 is:

4342+44=2142

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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