61/51 added to 4/3 in Fraction Form

The result of 61/51 added to 4/3 is: 2 9/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6151 and 43.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 51 and 3 is 51.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6151 to 6151
Convert 43 to 6851

Step 4: Add the Numerators

Add the numerators: 61 + 68 = 129

Step 5: Simplify the Fraction

We can simplify 12951 to its lowest form.
The greatest common divisor (GCD) of 129 and 51 is 3.
Dividing both numerator and denominator by the GCD, we get 4317.

Step 6: Convert to Mixed Number

The fraction 4317 can be written as the mixed number 2917.

Final Answer

The result of 61/51 added to 4/3 is:

6151+43=2917

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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