6/210 added to 42/4 in Fraction Form

The result of 6/210 added to 42/4 is: 10 37/70

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6210 and 424.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 210 and 4 is 420.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6210 to 12420
Convert 424 to 4410420

Step 4: Add the Numerators

Add the numerators: 12 + 4410 = 4422

Step 5: Simplify the Fraction

We can simplify 4422420 to its lowest form.
The greatest common divisor (GCD) of 4422 and 420 is 6.
Dividing both numerator and denominator by the GCD, we get 73770.

Step 6: Convert to Mixed Number

The fraction 73770 can be written as the mixed number 103770.

Final Answer

The result of 6/210 added to 42/4 is:

6210+424=103770

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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