27/210 added to 71/4 in Fraction Form

The result of 27/210 added to 71/4 is: 17 123/140

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 27210 and 714.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 210 and 4 is 420.

Step 3: Convert Fractions to Equivalent Fractions

Convert 27210 to 54420
Convert 714 to 7455420

Step 4: Add the Numerators

Add the numerators: 54 + 7455 = 7509

Step 5: Simplify the Fraction

We can simplify 7509420 to its lowest form.
The greatest common divisor (GCD) of 7509 and 420 is 3.
Dividing both numerator and denominator by the GCD, we get 2503140.

Step 6: Convert to Mixed Number

The fraction 2503140 can be written as the mixed number 17123140.

Final Answer

The result of 27/210 added to 71/4 is:

27210+714=17123140

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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