7/214 added to 69/3 in Fraction Form

The result of 7/214 added to 69/3 is: 23 7/214

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7214 and 693.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 214 and 3 is 642.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7214 to 21642
Convert 693 to 14766642

Step 4: Add the Numerators

Add the numerators: 21 + 14766 = 14787

Step 5: Simplify the Fraction

We can simplify 14787642 to its lowest form.
The greatest common divisor (GCD) of 14787 and 642 is 3.
Dividing both numerator and denominator by the GCD, we get 4929214.

Step 6: Convert to Mixed Number

The fraction 4929214 can be written as the mixed number 237214.

Final Answer

The result of 7/214 added to 69/3 is:

7214+693=237214

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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