152/146 added to 2/3 in Fraction Form

The result of 152/146 added to 2/3 is: 1 155/219

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 152146 and 23.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 146 and 3 is 438.

Step 3: Convert Fractions to Equivalent Fractions

Convert 152146 to 456438
Convert 23 to 292438

Step 4: Add the Numerators

Add the numerators: 456 + 292 = 748

Step 5: Simplify the Fraction

We can simplify 748438 to its lowest form.
The greatest common divisor (GCD) of 748 and 438 is 2.
Dividing both numerator and denominator by the GCD, we get 374219.

Step 6: Convert to Mixed Number

The fraction 374219 can be written as the mixed number 1155219.

Final Answer

The result of 152/146 added to 2/3 is:

152146+23=1155219

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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