184/70 added to 22/3 in Fraction Form

The result of 184/70 added to 22/3 is: 9 101/105

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18470 and 223.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 70 and 3 is 210.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18470 to 552210
Convert 223 to 1540210

Step 4: Add the Numerators

Add the numerators: 552 + 1540 = 2092

Step 5: Simplify the Fraction

We can simplify 2092210 to its lowest form.
The greatest common divisor (GCD) of 2092 and 210 is 2.
Dividing both numerator and denominator by the GCD, we get 1046105.

Step 6: Convert to Mixed Number

The fraction 1046105 can be written as the mixed number 9101105.

Final Answer

The result of 184/70 added to 22/3 is:

18470+223=9101105

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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