12/7 added to 237/3 in Fraction Form

The result of 12/7 added to 237/3 is: 80 5/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127 and 2373.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 3 is 21.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127 to 3621
Convert 2373 to 165921

Step 4: Add the Numerators

Add the numerators: 36 + 1659 = 1695

Step 5: Simplify the Fraction

We can simplify 169521 to its lowest form.
The greatest common divisor (GCD) of 1695 and 21 is 3.
Dividing both numerator and denominator by the GCD, we get 5657.

Step 6: Convert to Mixed Number

The fraction 5657 can be written as the mixed number 8057.

Final Answer

The result of 12/7 added to 237/3 is:

127+2373=8057

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: