2/154 added to 161/3 in Fraction Form

The result of 2/154 added to 161/3 is: 53 157/231

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2154 and 1613.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 154 and 3 is 462.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2154 to 6462
Convert 1613 to 24794462

Step 4: Add the Numerators

Add the numerators: 6 + 24794 = 24800

Step 5: Simplify the Fraction

We can simplify 24800462 to its lowest form.
The greatest common divisor (GCD) of 24800 and 462 is 2.
Dividing both numerator and denominator by the GCD, we get 12400231.

Step 6: Convert to Mixed Number

The fraction 12400231 can be written as the mixed number 53157231.

Final Answer

The result of 2/154 added to 161/3 is:

2154+1613=53157231

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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