42/209 added to 70/2 in Fraction Form

The result of 42/209 added to 70/2 is: 35 42/209

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 42209 and 702.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 209 and 2 is 418.

Step 3: Convert Fractions to Equivalent Fractions

Convert 42209 to 84418
Convert 702 to 14630418

Step 4: Add the Numerators

Add the numerators: 84 + 14630 = 14714

Step 5: Simplify the Fraction

We can simplify 14714418 to its lowest form.
The greatest common divisor (GCD) of 14714 and 418 is 2.
Dividing both numerator and denominator by the GCD, we get 7357209.

Step 6: Convert to Mixed Number

The fraction 7357209 can be written as the mixed number 3542209.

Final Answer

The result of 42/209 added to 70/2 is:

42209+702=3542209

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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