10/14 added to 32/2 in Fraction Form

The result of 10/14 added to 32/2 is: 16 5/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1014 and 322.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 14 and 2 is 14.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1014 to 1014
Convert 322 to 22414

Step 4: Add the Numerators

Add the numerators: 10 + 224 = 234

Step 5: Simplify the Fraction

We can simplify 23414 to its lowest form.
The greatest common divisor (GCD) of 234 and 14 is 2.
Dividing both numerator and denominator by the GCD, we get 1177.

Step 6: Convert to Mixed Number

The fraction 1177 can be written as the mixed number 1657.

Final Answer

The result of 10/14 added to 32/2 is:

1014+322=1657

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).

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