6/142 added to 23/3 in Fraction Form

The result of 6/142 added to 23/3 is: 7 151/213

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6142 and 233.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 142 and 3 is 426.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6142 to 18426
Convert 233 to 3266426

Step 4: Add the Numerators

Add the numerators: 18 + 3266 = 3284

Step 5: Simplify the Fraction

We can simplify 3284426 to its lowest form.
The greatest common divisor (GCD) of 3284 and 426 is 2.
Dividing both numerator and denominator by the GCD, we get 1642213.

Step 6: Convert to Mixed Number

The fraction 1642213 can be written as the mixed number 7151213.

Final Answer

The result of 6/142 added to 23/3 is:

6142+233=7151213

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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