17/146 added to 154/4 in Fraction Form

The result of 17/146 added to 154/4 is: 38 45/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17146 and 1544.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 146 and 4 is 292.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17146 to 34292
Convert 1544 to 11242292

Step 4: Add the Numerators

Add the numerators: 34 + 11242 = 11276

Step 5: Simplify the Fraction

We can simplify 11276292 to its lowest form.
The greatest common divisor (GCD) of 11276 and 292 is 4.
Dividing both numerator and denominator by the GCD, we get 281973.

Step 6: Convert to Mixed Number

The fraction 281973 can be written as the mixed number 384573.

Final Answer

The result of 17/146 added to 154/4 is:

17146+1544=384573

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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