15/69 added to 5/4 in Fraction Form

The result of 15/69 added to 5/4 is: 1 43/92

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1569 and 54.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 69 and 4 is 276.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1569 to 60276
Convert 54 to 345276

Step 4: Add the Numerators

Add the numerators: 60 + 345 = 405

Step 5: Simplify the Fraction

We can simplify 405276 to its lowest form.
The greatest common divisor (GCD) of 405 and 276 is 3.
Dividing both numerator and denominator by the GCD, we get 13592.

Step 6: Convert to Mixed Number

The fraction 13592 can be written as the mixed number 14392.

Final Answer

The result of 15/69 added to 5/4 is:

1569+54=14392

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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