56/147 added to 127/2 in Fraction Form

The result of 56/147 added to 127/2 is: 63 37/42

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 56147 and 1272.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 147 and 2 is 294.

Step 3: Convert Fractions to Equivalent Fractions

Convert 56147 to 112294
Convert 1272 to 18669294

Step 4: Add the Numerators

Add the numerators: 112 + 18669 = 18781

Step 5: Simplify the Fraction

We can simplify 18781294 to its lowest form.
The greatest common divisor (GCD) of 18781 and 294 is 7.
Dividing both numerator and denominator by the GCD, we get 268342.

Step 6: Convert to Mixed Number

The fraction 268342 can be written as the mixed number 633742.

Final Answer

The result of 56/147 added to 127/2 is:

56147+1272=633742

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: