51/39 added to 3/4 in Fraction Form

The result of 51/39 added to 3/4 is: 2 3/52

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5139 and 34.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 39 and 4 is 156.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5139 to 204156
Convert 34 to 117156

Step 4: Add the Numerators

Add the numerators: 204 + 117 = 321

Step 5: Simplify the Fraction

We can simplify 321156 to its lowest form.
The greatest common divisor (GCD) of 321 and 156 is 3.
Dividing both numerator and denominator by the GCD, we get 10752.

Step 6: Convert to Mixed Number

The fraction 10752 can be written as the mixed number 2352.

Final Answer

The result of 51/39 added to 3/4 is:

5139+34=2352

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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