27/67 added to 30/4 in Fraction Form

The result of 27/67 added to 30/4 is: 7 121/134

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2767 and 304.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 67 and 4 is 268.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2767 to 108268
Convert 304 to 2010268

Step 4: Add the Numerators

Add the numerators: 108 + 2010 = 2118

Step 5: Simplify the Fraction

We can simplify 2118268 to its lowest form.
The greatest common divisor (GCD) of 2118 and 268 is 2.
Dividing both numerator and denominator by the GCD, we get 1059134.

Step 6: Convert to Mixed Number

The fraction 1059134 can be written as the mixed number 7121134.

Final Answer

The result of 27/67 added to 30/4 is:

2767+304=7121134

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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