158/14 added to 81/3 in Fraction Form

The result of 158/14 added to 81/3 is: 38 2/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15814 and 813.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 14 and 3 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15814 to 47442
Convert 813 to 113442

Step 4: Add the Numerators

Add the numerators: 474 + 1134 = 1608

Step 5: Simplify the Fraction

We can simplify 160842 to its lowest form.
The greatest common divisor (GCD) of 1608 and 42 is 6.
Dividing both numerator and denominator by the GCD, we get 2687.

Step 6: Convert to Mixed Number

The fraction 2687 can be written as the mixed number 3827.

Final Answer

The result of 158/14 added to 81/3 is:

15814+813=3827

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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