33/154 added to 146/4 in Fraction Form

The result of 33/154 added to 146/4 is: 36 5/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 33154 and 1464.

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 33154 to 66308
Convert 1464 to 11242308

Step 4: Add the Numerators

Add the numerators: 66 + 11242 = 11308

Step 5: Simplify the Fraction

We can simplify 11308308 to its lowest form.
The greatest common divisor (GCD) of 11308 and 308 is 44.
Dividing both numerator and denominator by the GCD, we get 2577.

Step 6: Convert to Mixed Number

The fraction 2577 can be written as the mixed number 3657.

Final Answer

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

33154+1464=3657

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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