154/101 added to 74/2 in Fraction Form

The result of 154/101 added to 74/2 is: 38 53/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 154101 and 742.

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 154101 to 308202
Convert 742 to 7474202

Step 4: Add the Numerators

Add the numerators: 308 + 7474 = 7782

Step 5: Simplify the Fraction

We can simplify 7782202 to its lowest form.
The greatest common divisor (GCD) of 7782 and 202 is 2.
Dividing both numerator and denominator by the GCD, we get 3891101.

Step 6: Convert to Mixed Number

The fraction 3891101 can be written as the mixed number 3853101.

Final Answer

The result of 154/101 added to 74/2 is:

154101+742=3853101

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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