4/154 added to 142/3 in Fraction Form

The result of 4/154 added to 142/3 is: 47 83/231

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4154 and 1423.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 154 and 3 is 462.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4154 to 12462
Convert 1423 to 21868462

Step 4: Add the Numerators

Add the numerators: 12 + 21868 = 21880

Step 5: Simplify the Fraction

We can simplify 21880462 to its lowest form.
The greatest common divisor (GCD) of 21880 and 462 is 2.
Dividing both numerator and denominator by the GCD, we get 10940231.

Step 6: Convert to Mixed Number

The fraction 10940231 can be written as the mixed number 4783231.

Final Answer

The result of 4/154 added to 142/3 is:

4154+1423=4783231

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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