112/82 added to 74/2 in Fraction Form

The result of 112/82 added to 74/2 is: 38 15/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11282 and 742.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 2 is 82.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11282 to 11282
Convert 742 to 303482

Step 4: Add the Numerators

Add the numerators: 112 + 3034 = 3146

Step 5: Simplify the Fraction

We can simplify 314682 to its lowest form.
The greatest common divisor (GCD) of 3146 and 82 is 2.
Dividing both numerator and denominator by the GCD, we get 157341.

Step 6: Convert to Mixed Number

The fraction 157341 can be written as the mixed number 381541.

Final Answer

The result of 112/82 added to 74/2 is:

11282+742=381541

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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