51/207 added to 9/4 in Fraction Form

The result of 51/207 added to 9/4 is: 2 137/276

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 51207 and 94.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 207 and 4 is 828.

Step 3: Convert Fractions to Equivalent Fractions

Convert 51207 to 204828
Convert 94 to 1863828

Step 4: Add the Numerators

Add the numerators: 204 + 1863 = 2067

Step 5: Simplify the Fraction

We can simplify 2067828 to its lowest form.
The greatest common divisor (GCD) of 2067 and 828 is 3.
Dividing both numerator and denominator by the GCD, we get 689276.

Step 6: Convert to Mixed Number

The fraction 689276 can be written as the mixed number 2137276.

Final Answer

The result of 51/207 added to 9/4 is:

51207+94=2137276

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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