146/57 added to 118/2 in Fraction Form

The result of 146/57 added to 118/2 is: 61 32/57

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14657 and 1182.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 57 and 2 is 114.

Step 3: Convert Fractions to Equivalent Fractions

Convert 14657 to 292114
Convert 1182 to 6726114

Step 4: Add the Numerators

Add the numerators: 292 + 6726 = 7018

Step 5: Simplify the Fraction

We can simplify 7018114 to its lowest form.
The greatest common divisor (GCD) of 7018 and 114 is 2.
Dividing both numerator and denominator by the GCD, we get 350957.

Step 6: Convert to Mixed Number

The fraction 350957 can be written as the mixed number 613257.

Final Answer

The result of 146/57 added to 118/2 is:

14657+1182=613257

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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