11/70 added to 167/2 in Fraction Form

The result of 11/70 added to 167/2 is: 83 23/35

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1170 and 1672.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 70 and 2 is 70.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1170 to 1170
Convert 1672 to 584570

Step 4: Add the Numerators

Add the numerators: 11 + 5845 = 5856

Step 5: Simplify the Fraction

We can simplify 585670 to its lowest form.
The greatest common divisor (GCD) of 5856 and 70 is 2.
Dividing both numerator and denominator by the GCD, we get 292835.

Step 6: Convert to Mixed Number

The fraction 292835 can be written as the mixed number 832335.

Final Answer

The result of 11/70 added to 167/2 is:

1170+1672=832335

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: