117/7 added to 100/2 in Fraction Form

The result of 117/7 added to 100/2 is: 66 5/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1177 and 1002.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 2 is 14.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1177 to 23414
Convert 1002 to 70014

Step 4: Add the Numerators

Add the numerators: 234 + 700 = 934

Step 5: Simplify the Fraction

We can simplify 93414 to its lowest form.
The greatest common divisor (GCD) of 934 and 14 is 2.
Dividing both numerator and denominator by the GCD, we get 4677.

Step 6: Convert to Mixed Number

The fraction 4677 can be written as the mixed number 6657.

Final Answer

The result of 117/7 added to 100/2 is:

1177+1002=6657

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: