179/20 added to 99/4 in Fraction Form

The result of 179/20 added to 99/4 is: 33 7/10

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17920 and 994.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 20 and 4 is 20.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17920 to 17920
Convert 994 to 49520

Step 4: Add the Numerators

Add the numerators: 179 + 495 = 674

Step 5: Simplify the Fraction

We can simplify 67420 to its lowest form.
The greatest common divisor (GCD) of 674 and 20 is 2.
Dividing both numerator and denominator by the GCD, we get 33710.

Step 6: Convert to Mixed Number

The fraction 33710 can be written as the mixed number 33710.

Final Answer

The result of 179/20 added to 99/4 is:

17920+994=33710

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

Calculate operations between any two fractions: