92/4 added to 185/2 in Fraction Form

The result of 92/4 added to 185/2 is: 115 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 924 and 1852.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 4 and 2 is 4.

Step 3: Convert Fractions to Equivalent Fractions

Convert 924 to 924
Convert 1852 to 3704

Step 4: Add the Numerators

Add the numerators: 92 + 370 = 462

Step 5: Simplify the Fraction

We can simplify 4624 to its lowest form.
The greatest common divisor (GCD) of 462 and 4 is 2.
Dividing both numerator and denominator by the GCD, we get 2312.

Step 6: Convert to Mixed Number

The fraction 2312 can be written as the mixed number 11512.

Final Answer

The result of 92/4 added to 185/2 is:

924+1852=11512

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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