24/40 added to 15/6 in Fraction Form

The result of 24/40 added to 15/6 is: 3 1/10

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2440 and 156.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 40 and 6 is 120.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2440 to 72120
Convert 156 to 300120

Step 4: Add the Numerators

Add the numerators: 72 + 300 = 372

Step 5: Simplify the Fraction

We can simplify 372120 to its lowest form.
The greatest common divisor (GCD) of 372 and 120 is 12.
Dividing both numerator and denominator by the GCD, we get 3110.

Step 6: Convert to Mixed Number

The fraction 3110 can be written as the mixed number 3110.

Final Answer

The result of 24/40 added to 15/6 is:

2440+156=3110

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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