159/9 added to 67/4 in Fraction Form

The result of 159/9 added to 67/4 is: 34 5/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1599 and 674.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 4 is 36.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1599 to 63636
Convert 674 to 60336

Step 4: Add the Numerators

Add the numerators: 636 + 603 = 1239

Step 5: Simplify the Fraction

We can simplify 123936 to its lowest form.
The greatest common divisor (GCD) of 1239 and 36 is 3.
Dividing both numerator and denominator by the GCD, we get 41312.

Step 6: Convert to Mixed Number

The fraction 41312 can be written as the mixed number 34512.

Final Answer

The result of 159/9 added to 67/4 is:

1599+674=34512

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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