38/71 added to 14/6 in Fraction Form

The result of 38/71 added to 14/6 is: 2 185/213

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3871 and 146.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 71 and 6 is 426.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3871 to 228426
Convert 146 to 994426

Step 4: Add the Numerators

Add the numerators: 228 + 994 = 1222

Step 5: Simplify the Fraction

We can simplify 1222426 to its lowest form.
The greatest common divisor (GCD) of 1222 and 426 is 2.
Dividing both numerator and denominator by the GCD, we get 611213.

Step 6: Convert to Mixed Number

The fraction 611213 can be written as the mixed number 2185213.

Final Answer

The result of 38/71 added to 14/6 is:

3871+146=2185213

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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