127/43 added to 90/6 in Fraction Form

The result of 127/43 added to 90/6 is: 17 41/43

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12743 and 906.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 43 and 6 is 258.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12743 to 762258
Convert 906 to 3870258

Step 4: Add the Numerators

Add the numerators: 762 + 3870 = 4632

Step 5: Simplify the Fraction

We can simplify 4632258 to its lowest form.
The greatest common divisor (GCD) of 4632 and 258 is 6.
Dividing both numerator and denominator by the GCD, we get 77243.

Step 6: Convert to Mixed Number

The fraction 77243 can be written as the mixed number 174143.

Final Answer

The result of 127/43 added to 90/6 is:

12743+906=174143

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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