177/42 added to 80/4 in Fraction Form

The result of 177/42 added to 80/4 is: 24 3/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17742 and 804.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 42 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17742 to 35484
Convert 804 to 168084

Step 4: Add the Numerators

Add the numerators: 354 + 1680 = 2034

Step 5: Simplify the Fraction

We can simplify 203484 to its lowest form.
The greatest common divisor (GCD) of 2034 and 84 is 6.
Dividing both numerator and denominator by the GCD, we get 33914.

Step 6: Convert to Mixed Number

The fraction 33914 can be written as the mixed number 24314.

Final Answer

The result of 177/42 added to 80/4 is:

17742+804=24314

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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