4/70 added to 206/2 in Fraction Form

The result of 4/70 added to 206/2 is: 103 2/35

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 470 and 2062.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 70 and 2 is 70.

Step 3: Convert Fractions to Equivalent Fractions

Convert 470 to 470
Convert 2062 to 721070

Step 4: Add the Numerators

Add the numerators: 4 + 7210 = 7214

Step 5: Simplify the Fraction

We can simplify 721470 to its lowest form.
The greatest common divisor (GCD) of 7214 and 70 is 2.
Dividing both numerator and denominator by the GCD, we get 360735.

Step 6: Convert to Mixed Number

The fraction 360735 can be written as the mixed number 103235.

Final Answer

The result of 4/70 added to 206/2 is:

470+2062=103235

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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