6/183 added to 7/4 in Fraction Form

The result of 6/183 added to 7/4 is: 1 191/244

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6183 and 74.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 183 and 4 is 732.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6183 to 24732
Convert 74 to 1281732

Step 4: Add the Numerators

Add the numerators: 24 + 1281 = 1305

Step 5: Simplify the Fraction

We can simplify 1305732 to its lowest form.
The greatest common divisor (GCD) of 1305 and 732 is 3.
Dividing both numerator and denominator by the GCD, we get 435244.

Step 6: Convert to Mixed Number

The fraction 435244 can be written as the mixed number 1191244.

Final Answer

The result of 6/183 added to 7/4 is:

6183+74=1191244

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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