210/32 added to 22/3 in Fraction Form

The result of 210/32 added to 22/3 is: 13 43/48

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21032 and 223.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 32 and 3 is 96.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21032 to 63096
Convert 223 to 70496

Step 4: Add the Numerators

Add the numerators: 630 + 704 = 1334

Step 5: Simplify the Fraction

We can simplify 133496 to its lowest form.
The greatest common divisor (GCD) of 1334 and 96 is 2.
Dividing both numerator and denominator by the GCD, we get 66748.

Step 6: Convert to Mixed Number

The fraction 66748 can be written as the mixed number 134348.

Final Answer

The result of 210/32 added to 22/3 is:

21032+223=134348

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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