31/58 added to 213/2 in Fraction Form

The result of 31/58 added to 213/2 is: 107 1/29

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3158 and 2132.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 58 and 2 is 58.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3158 to 3158
Convert 2132 to 617758

Step 4: Add the Numerators

Add the numerators: 31 + 6177 = 6208

Step 5: Simplify the Fraction

We can simplify 620858 to its lowest form.
The greatest common divisor (GCD) of 6208 and 58 is 2.
Dividing both numerator and denominator by the GCD, we get 310429.

Step 6: Convert to Mixed Number

The fraction 310429 can be written as the mixed number 107129.

Final Answer

The result of 31/58 added to 213/2 is:

3158+2132=107129

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

Calculate operations between any two fractions: