77/101 added to 102/3 in Fraction Form

The result of 77/101 added to 102/3 is: 34 77/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 77101 and 1023.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 3 is 303.

Step 3: Convert Fractions to Equivalent Fractions

Convert 77101 to 231303
Convert 1023 to 10302303

Step 4: Add the Numerators

Add the numerators: 231 + 10302 = 10533

Step 5: Simplify the Fraction

We can simplify 10533303 to its lowest form.
The greatest common divisor (GCD) of 10533 and 303 is 3.
Dividing both numerator and denominator by the GCD, we get 3511101.

Step 6: Convert to Mixed Number

The fraction 3511101 can be written as the mixed number 3477101.

Final Answer

The result of 77/101 added to 102/3 is:

77101+1023=3477101

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: