19/70 added to 76/4 in Fraction Form

The result of 19/70 added to 76/4 is: 19 19/70

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1970 and 764.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 70 and 4 is 140.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1970 to 38140
Convert 764 to 2660140

Step 4: Add the Numerators

Add the numerators: 38 + 2660 = 2698

Step 5: Simplify the Fraction

We can simplify 2698140 to its lowest form.
The greatest common divisor (GCD) of 2698 and 140 is 2.
Dividing both numerator and denominator by the GCD, we get 134970.

Step 6: Convert to Mixed Number

The fraction 134970 can be written as the mixed number 191970.

Final Answer

The result of 19/70 added to 76/4 is:

1970+764=191970

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: