67/53 added to 146/6 in Fraction Form

The result of 67/53 added to 146/6 is: 25 95/159

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6753 and 1466.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 6 is 318.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6753 to 402318
Convert 1466 to 7738318

Step 4: Add the Numerators

Add the numerators: 402 + 7738 = 8140

Step 5: Simplify the Fraction

We can simplify 8140318 to its lowest form.
The greatest common divisor (GCD) of 8140 and 318 is 2.
Dividing both numerator and denominator by the GCD, we get 4070159.

Step 6: Convert to Mixed Number

The fraction 4070159 can be written as the mixed number 2595159.

Final Answer

The result of 67/53 added to 146/6 is:

6753+1466=2595159

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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