7/73 added to 70/6 in Fraction Form

The result of 7/73 added to 70/6 is: 11 167/219

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 773 and 706.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 73 and 6 is 438.

Step 3: Convert Fractions to Equivalent Fractions

Convert 773 to 42438
Convert 706 to 5110438

Step 4: Add the Numerators

Add the numerators: 42 + 5110 = 5152

Step 5: Simplify the Fraction

We can simplify 5152438 to its lowest form.
The greatest common divisor (GCD) of 5152 and 438 is 2.
Dividing both numerator and denominator by the GCD, we get 2576219.

Step 6: Convert to Mixed Number

The fraction 2576219 can be written as the mixed number 11167219.

Final Answer

The result of 7/73 added to 70/6 is:

773+706=11167219

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: