70/9 added to 24/4 in Fraction Form

The result of 70/9 added to 24/4 is: 13 7/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 709 and 244.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 4 is 36.

Step 3: Convert Fractions to Equivalent Fractions

Convert 709 to 28036
Convert 244 to 21636

Step 4: Add the Numerators

Add the numerators: 280 + 216 = 496

Step 5: Simplify the Fraction

We can simplify 49636 to its lowest form.
The greatest common divisor (GCD) of 496 and 36 is 4.
Dividing both numerator and denominator by the GCD, we get 1249.

Step 6: Convert to Mixed Number

The fraction 1249 can be written as the mixed number 1379.

Final Answer

The result of 70/9 added to 24/4 is:

709+244=1379

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: