25/101 added to 154/2 in Fraction Form

The result of 25/101 added to 154/2 is: 77 25/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 25101 and 1542.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 2 is 202.

Step 3: Convert Fractions to Equivalent Fractions

Convert 25101 to 50202
Convert 1542 to 15554202

Step 4: Add the Numerators

Add the numerators: 50 + 15554 = 15604

Step 5: Simplify the Fraction

We can simplify 15604202 to its lowest form.
The greatest common divisor (GCD) of 15604 and 202 is 2.
Dividing both numerator and denominator by the GCD, we get 7802101.

Step 6: Convert to Mixed Number

The fraction 7802101 can be written as the mixed number 7725101.

Final Answer

The result of 25/101 added to 154/2 is:

25101+1542=7725101

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).

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