38/82 added to 142/4 in Fraction Form

The result of 38/82 added to 142/4 is: 35 79/82

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3882 and 1424.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 4 is 164.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3882 to 76164
Convert 1424 to 5822164

Step 4: Add the Numerators

Add the numerators: 76 + 5822 = 5898

Step 5: Simplify the Fraction

We can simplify 5898164 to its lowest form.
The greatest common divisor (GCD) of 5898 and 164 is 2.
Dividing both numerator and denominator by the GCD, we get 294982.

Step 6: Convert to Mixed Number

The fraction 294982 can be written as the mixed number 357982.

Final Answer

The result of 38/82 added to 142/4 is:

3882+1424=357982

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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