70/32 added to 207/2 in Fraction Form

The result of 70/32 added to 207/2 is: 105 11/16

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7032 and 2072.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 32 and 2 is 32.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7032 to 7032
Convert 2072 to 331232

Step 4: Add the Numerators

Add the numerators: 70 + 3312 = 3382

Step 5: Simplify the Fraction

We can simplify 338232 to its lowest form.
The greatest common divisor (GCD) of 3382 and 32 is 2.
Dividing both numerator and denominator by the GCD, we get 169116.

Step 6: Convert to Mixed Number

The fraction 169116 can be written as the mixed number 1051116.

Final Answer

The result of 70/32 added to 207/2 is:

7032+2072=1051116

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: