87/213 added to 30/2 in Fraction Form

The result of 87/213 added to 30/2 is: 15 29/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 87213 and 302.

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 87213 to 174426
Convert 302 to 6390426

Step 4: Add the Numerators

Add the numerators: 174 + 6390 = 6564

Step 5: Simplify the Fraction

We can simplify 6564426 to its lowest form.
The greatest common divisor (GCD) of 6564 and 426 is 6.
Dividing both numerator and denominator by the GCD, we get 109471.

Step 6: Convert to Mixed Number

The fraction 109471 can be written as the mixed number 152971.

Final Answer

The result of 87/213 added to 30/2 is:

87213+302=152971

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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