178/32 added to 99/4 in Fraction Form

The result of 178/32 added to 99/4 is: 30 5/16

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17832 and 994.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 32 and 4 is 32.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17832 to 17832
Convert 994 to 79232

Step 4: Add the Numerators

Add the numerators: 178 + 792 = 970

Step 5: Simplify the Fraction

We can simplify 97032 to its lowest form.
The greatest common divisor (GCD) of 970 and 32 is 2.
Dividing both numerator and denominator by the GCD, we get 48516.

Step 6: Convert to Mixed Number

The fraction 48516 can be written as the mixed number 30516.

Final Answer

The result of 178/32 added to 99/4 is:

17832+994=30516

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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