154/39 added to 70/4 in Fraction Form

The result of 154/39 added to 70/4 is: 21 35/78

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15439 and 704.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 39 and 4 is 156.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15439 to 616156
Convert 704 to 2730156

Step 4: Add the Numerators

Add the numerators: 616 + 2730 = 3346

Step 5: Simplify the Fraction

We can simplify 3346156 to its lowest form.
The greatest common divisor (GCD) of 3346 and 156 is 2.
Dividing both numerator and denominator by the GCD, we get 167378.

Step 6: Convert to Mixed Number

The fraction 167378 can be written as the mixed number 213578.

Final Answer

The result of 154/39 added to 70/4 is:

15439+704=213578

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: