109/70 added to 127/6 in Fraction Form

The result of 109/70 added to 127/6 is: 22 76/105

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10970 and 1276.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 70 and 6 is 210.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10970 to 327210
Convert 1276 to 4445210

Step 4: Add the Numerators

Add the numerators: 327 + 4445 = 4772

Step 5: Simplify the Fraction

We can simplify 4772210 to its lowest form.
The greatest common divisor (GCD) of 4772 and 210 is 2.
Dividing both numerator and denominator by the GCD, we get 2386105.

Step 6: Convert to Mixed Number

The fraction 2386105 can be written as the mixed number 2276105.

Final Answer

The result of 109/70 added to 127/6 is:

10970+1276=2276105

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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