222/70 added to 17/3 in Fraction Form

The result of 222/70 added to 17/3 is: 8 88/105

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22270 and 173.

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 22270 to 666210
Convert 173 to 1190210

Step 4: Add the Numerators

Add the numerators: 666 + 1190 = 1856

Step 5: Simplify the Fraction

We can simplify 1856210 to its lowest form.
The greatest common divisor (GCD) of 1856 and 210 is 2.
Dividing both numerator and denominator by the GCD, we get 928105.

Step 6: Convert to Mixed Number

The fraction 928105 can be written as the mixed number 888105.

Final Answer

The result of 222/70 added to 17/3 is:

22270+173=888105

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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