151/9 added to 100/4 in Fraction Form

The result of 151/9 added to 100/4 is: 41 7/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1519 and 1004.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 4 is 36.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1519 to 60436
Convert 1004 to 90036

Step 4: Add the Numerators

Add the numerators: 604 + 900 = 1504

Step 5: Simplify the Fraction

We can simplify 150436 to its lowest form.
The greatest common divisor (GCD) of 1504 and 36 is 4.
Dividing both numerator and denominator by the GCD, we get 3769.

Step 6: Convert to Mixed Number

The fraction 3769 can be written as the mixed number 4179.

Final Answer

The result of 151/9 added to 100/4 is:

1519+1004=4179

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

Calculate operations between any two fractions: