24/15 added to 74/2 in Fraction Form

The result of 24/15 added to 74/2 is: 38 3/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2415 and 742.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 15 and 2 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2415 to 4830
Convert 742 to 111030

Step 4: Add the Numerators

Add the numerators: 48 + 1110 = 1158

Step 5: Simplify the Fraction

We can simplify 115830 to its lowest form.
The greatest common divisor (GCD) of 1158 and 30 is 6.
Dividing both numerator and denominator by the GCD, we get 1935.

Step 6: Convert to Mixed Number

The fraction 1935 can be written as the mixed number 3835.

Final Answer

The result of 24/15 added to 74/2 is:

2415+742=3835

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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