15/30 added to 23/4 in Fraction Form

The result of 15/30 added to 23/4 is: 6 1/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1530 and 234.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 30 and 4 is 60.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1530 to 3060
Convert 234 to 34560

Step 4: Add the Numerators

Add the numerators: 30 + 345 = 375

Step 5: Simplify the Fraction

We can simplify 37560 to its lowest form.
The greatest common divisor (GCD) of 375 and 60 is 15.
Dividing both numerator and denominator by the GCD, we get 254.

Step 6: Convert to Mixed Number

The fraction 254 can be written as the mixed number 614.

Final Answer

The result of 15/30 added to 23/4 is:

1530+234=614

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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