18/261 added to 7/4 in Fraction Form

The result of 18/261 added to 7/4 is: 1 95/116

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18261 and 74.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 261 and 4 is 1044.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18261 to 721044
Convert 74 to 18271044

Step 4: Add the Numerators

Add the numerators: 72 + 1827 = 1899

Step 5: Simplify the Fraction

We can simplify 18991044 to its lowest form.
The greatest common divisor (GCD) of 1899 and 1044 is 9.
Dividing both numerator and denominator by the GCD, we get 211116.

Step 6: Convert to Mixed Number

The fraction 211116 can be written as the mixed number 195116.

Final Answer

The result of 18/261 added to 7/4 is:

18261+74=195116

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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