158/42 added to 118/3 in Fraction Form

The result of 158/42 added to 118/3 is: 43 2/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15842 and 1183.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 42 and 3 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15842 to 15842
Convert 1183 to 165242

Step 4: Add the Numerators

Add the numerators: 158 + 1652 = 1810

Step 5: Simplify the Fraction

We can simplify 181042 to its lowest form.
The greatest common divisor (GCD) of 1810 and 42 is 2.
Dividing both numerator and denominator by the GCD, we get 90521.

Step 6: Convert to Mixed Number

The fraction 90521 can be written as the mixed number 43221.

Final Answer

The result of 158/42 added to 118/3 is:

15842+1183=43221

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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