153/149 added to 24/4 in Fraction Form

The result of 153/149 added to 24/4 is: 7 4/149

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 153149 and 244.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 149 and 4 is 596.

Step 3: Convert Fractions to Equivalent Fractions

Convert 153149 to 612596
Convert 244 to 3576596

Step 4: Add the Numerators

Add the numerators: 612 + 3576 = 4188

Step 5: Simplify the Fraction

We can simplify 4188596 to its lowest form.
The greatest common divisor (GCD) of 4188 and 596 is 4.
Dividing both numerator and denominator by the GCD, we get 1047149.

Step 6: Convert to Mixed Number

The fraction 1047149 can be written as the mixed number 74149.

Final Answer

The result of 153/149 added to 24/4 is:

153149+244=74149

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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