4/14 added to 70/6 in Fraction Form

The result of 4/14 added to 70/6 is: 11 20/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 414 and 706.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 14 and 6 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 414 to 1242
Convert 706 to 49042

Step 4: Add the Numerators

Add the numerators: 12 + 490 = 502

Step 5: Simplify the Fraction

We can simplify 50242 to its lowest form.
The greatest common divisor (GCD) of 502 and 42 is 2.
Dividing both numerator and denominator by the GCD, we get 25121.

Step 6: Convert to Mixed Number

The fraction 25121 can be written as the mixed number 112021.

Final Answer

The result of 4/14 added to 70/6 is:

414+706=112021

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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