1/210 added to 41/3 in Fraction Form

The result of 1/210 added to 41/3 is: 13 47/70

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1210 and 413.

Step 2: Find the Least Common Multiple (LCM)

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

Step 3: Convert Fractions to Equivalent Fractions

Convert 1210 to 1210
Convert 413 to 2870210

Step 4: Add the Numerators

Add the numerators: 1 + 2870 = 2871

Step 5: Simplify the Fraction

We can simplify 2871210 to its lowest form.
The greatest common divisor (GCD) of 2871 and 210 is 3.
Dividing both numerator and denominator by the GCD, we get 95770.

Step 6: Convert to Mixed Number

The fraction 95770 can be written as the mixed number 134770.

Final Answer

The result of 1/210 added to 41/3 is:

1210+413=134770

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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