31/82 added to 146/4 in Fraction Form

The result of 31/82 added to 146/4 is: 36 36/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3182 and 1464.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 4 is 164.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3182 to 62164
Convert 1464 to 5986164

Step 4: Add the Numerators

Add the numerators: 62 + 5986 = 6048

Step 5: Simplify the Fraction

We can simplify 6048164 to its lowest form.
The greatest common divisor (GCD) of 6048 and 164 is 4.
Dividing both numerator and denominator by the GCD, we get 151241.

Step 6: Convert to Mixed Number

The fraction 151241 can be written as the mixed number 363641.

Final Answer

The result of 31/82 added to 146/4 is:

3182+1464=363641

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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