70/23 added to 4/6 in Fraction Form

The result of 70/23 added to 4/6 is: 3 49/69

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7023 and 46.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 23 and 6 is 138.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7023 to 420138
Convert 46 to 92138

Step 4: Add the Numerators

Add the numerators: 420 + 92 = 512

Step 5: Simplify the Fraction

We can simplify 512138 to its lowest form.
The greatest common divisor (GCD) of 512 and 138 is 2.
Dividing both numerator and denominator by the GCD, we get 25669.

Step 6: Convert to Mixed Number

The fraction 25669 can be written as the mixed number 34969.

Final Answer

The result of 70/23 added to 4/6 is:

7023+46=34969

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: