33/146 added to 154/4 in Fraction Form

The result of 33/146 added to 154/4 is: 38 53/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 33146 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 33146 to 66292
Convert 1544 to 11242292

Step 4: Add the Numerators

Add the numerators: 66 + 11242 = 11308

Step 5: Simplify the Fraction

We can simplify 11308292 to its lowest form.
The greatest common divisor (GCD) of 11308 and 292 is 4.
Dividing both numerator and denominator by the GCD, we get 282773.

Step 6: Convert to Mixed Number

The fraction 282773 can be written as the mixed number 385373.

Final Answer

The result of 33/146 added to 154/4 is:

33146+1544=385373

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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