70/10 added to 218/3 in Fraction Form

The result of 70/10 added to 218/3 is: 79 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7010 and 2183.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 10 and 3 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7010 to 21030
Convert 2183 to 218030

Step 4: Add the Numerators

Add the numerators: 210 + 2180 = 2390

Step 5: Simplify the Fraction

We can simplify 239030 to its lowest form.
The greatest common divisor (GCD) of 2390 and 30 is 10.
Dividing both numerator and denominator by the GCD, we get 2393.

Step 6: Convert to Mixed Number

The fraction 2393 can be written as the mixed number 7923.

Final Answer

The result of 70/10 added to 218/3 is:

7010+2183=7923

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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