75/213 added to 6/2 in Fraction Form

The result of 75/213 added to 6/2 is: 3 25/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 75213 and 62.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 2 is 426.

Step 3: Convert Fractions to Equivalent Fractions

Convert 75213 to 150426
Convert 62 to 1278426

Step 4: Add the Numerators

Add the numerators: 150 + 1278 = 1428

Step 5: Simplify the Fraction

We can simplify 1428426 to its lowest form.
The greatest common divisor (GCD) of 1428 and 426 is 6.
Dividing both numerator and denominator by the GCD, we get 23871.

Step 6: Convert to Mixed Number

The fraction 23871 can be written as the mixed number 32571.

Final Answer

The result of 75/213 added to 6/2 is:

75213+62=32571

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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