158/21 added to 118/3 in Fraction Form

The result of 158/21 added to 118/3 is: 46 6/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15821 and 1183.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 3 is 21.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15821 to 15821
Convert 1183 to 82621

Step 4: Add the Numerators

Add the numerators: 158 + 826 = 984

Step 5: Simplify the Fraction

We can simplify 98421 to its lowest form.
The greatest common divisor (GCD) of 984 and 21 is 3.
Dividing both numerator and denominator by the GCD, we get 3287.

Step 6: Convert to Mixed Number

The fraction 3287 can be written as the mixed number 4667.

Final Answer

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

15821+1183=4667

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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