57/146 added to 102/3 in Fraction Form

The result of 57/146 added to 102/3 is: 34 57/146

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 57146 and 1023.

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 57146 to 171438
Convert 1023 to 14892438

Step 4: Add the Numerators

Add the numerators: 171 + 14892 = 15063

Step 5: Simplify the Fraction

We can simplify 15063438 to its lowest form.
The greatest common divisor (GCD) of 15063 and 438 is 3.
Dividing both numerator and denominator by the GCD, we get 5021146.

Step 6: Convert to Mixed Number

The fraction 5021146 can be written as the mixed number 3457146.

Final Answer

The result of 57/146 added to 102/3 is:

57146+1023=3457146

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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