58/101 added to 100/4 in Fraction Form

The result of 58/101 added to 100/4 is: 25 58/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 58101 and 1004.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 4 is 404.

Step 3: Convert Fractions to Equivalent Fractions

Convert 58101 to 232404
Convert 1004 to 10100404

Step 4: Add the Numerators

Add the numerators: 232 + 10100 = 10332

Step 5: Simplify the Fraction

We can simplify 10332404 to its lowest form.
The greatest common divisor (GCD) of 10332 and 404 is 4.
Dividing both numerator and denominator by the GCD, we get 2583101.

Step 6: Convert to Mixed Number

The fraction 2583101 can be written as the mixed number 2558101.

Final Answer

The result of 58/101 added to 100/4 is:

58101+1004=2558101

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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