19/135 added to 154/6 in Fraction Form

The result of 19/135 added to 154/6 is: 25 109/135

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 19135 and 1546.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 135 and 6 is 270.

Step 3: Convert Fractions to Equivalent Fractions

Convert 19135 to 38270
Convert 1546 to 6930270

Step 4: Add the Numerators

Add the numerators: 38 + 6930 = 6968

Step 5: Simplify the Fraction

We can simplify 6968270 to its lowest form.
The greatest common divisor (GCD) of 6968 and 270 is 2.
Dividing both numerator and denominator by the GCD, we get 3484135.

Step 6: Convert to Mixed Number

The fraction 3484135 can be written as the mixed number 25109135.

Final Answer

The result of 19/135 added to 154/6 is:

19135+1546=25109135

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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