4/158 added to 127/3 in Fraction Form

The result of 4/158 added to 127/3 is: 42 85/237

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4158 and 1273.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 158 and 3 is 474.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4158 to 12474
Convert 1273 to 20066474

Step 4: Add the Numerators

Add the numerators: 12 + 20066 = 20078

Step 5: Simplify the Fraction

We can simplify 20078474 to its lowest form.
The greatest common divisor (GCD) of 20078 and 474 is 2.
Dividing both numerator and denominator by the GCD, we get 10039237.

Step 6: Convert to Mixed Number

The fraction 10039237 can be written as the mixed number 4285237.

Final Answer

The result of 4/158 added to 127/3 is:

4158+1273=4285237

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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