17/154 added to 146/4 in Fraction Form

The result of 17/154 added to 146/4 is: 36 47/77

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17154 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 17154 to 34308
Convert 1464 to 11242308

Step 4: Add the Numerators

Add the numerators: 34 + 11242 = 11276

Step 5: Simplify the Fraction

We can simplify 11276308 to its lowest form.
The greatest common divisor (GCD) of 11276 and 308 is 4.
Dividing both numerator and denominator by the GCD, we get 281977.

Step 6: Convert to Mixed Number

The fraction 281977 can be written as the mixed number 364777.

Final Answer

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

17154+1464=364777

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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