118/154 added to 34/4 in Fraction Form

The result of 118/154 added to 34/4 is: 9 41/154

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 118154 and 344.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 154 and 4 is 308.

Step 3: Convert Fractions to Equivalent Fractions

Convert 118154 to 236308
Convert 344 to 2618308

Step 4: Add the Numerators

Add the numerators: 236 + 2618 = 2854

Step 5: Simplify the Fraction

We can simplify 2854308 to its lowest form.
The greatest common divisor (GCD) of 2854 and 308 is 2.
Dividing both numerator and denominator by the GCD, we get 1427154.

Step 6: Convert to Mixed Number

The fraction 1427154 can be written as the mixed number 941154.

Final Answer

The result of 118/154 added to 34/4 is:

118154+344=941154

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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