6/238 added to 7/3 in Fraction Form

The result of 6/238 added to 7/3 is: 2 128/357

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6238 and 73.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 238 and 3 is 714.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6238 to 18714
Convert 73 to 1666714

Step 4: Add the Numerators

Add the numerators: 18 + 1666 = 1684

Step 5: Simplify the Fraction

We can simplify 1684714 to its lowest form.
The greatest common divisor (GCD) of 1684 and 714 is 2.
Dividing both numerator and denominator by the GCD, we get 842357.

Step 6: Convert to Mixed Number

The fraction 842357 can be written as the mixed number 2128357.

Final Answer

The result of 6/238 added to 7/3 is:

6238+73=2128357

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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