3/7 added to 238/2 in Fraction Form

The result of 3/7 added to 238/2 is: 119 3/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 37 and 2382.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 2 is 14.

Step 3: Convert Fractions to Equivalent Fractions

Convert 37 to 614
Convert 2382 to 166614

Step 4: Add the Numerators

Add the numerators: 6 + 1666 = 1672

Step 5: Simplify the Fraction

We can simplify 167214 to its lowest form.
The greatest common divisor (GCD) of 1672 and 14 is 2.
Dividing both numerator and denominator by the GCD, we get 8367.

Step 6: Convert to Mixed Number

The fraction 8367 can be written as the mixed number 11937.

Final Answer

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

37+2382=11937

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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