10/17 added to 42/3 in Fraction Form

The result of 10/17 added to 42/3 is: 14 10/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1017 and 423.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 17 and 3 is 51.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1017 to 3051
Convert 423 to 71451

Step 4: Add the Numerators

Add the numerators: 30 + 714 = 744

Step 5: Simplify the Fraction

We can simplify 74451 to its lowest form.
The greatest common divisor (GCD) of 744 and 51 is 3.
Dividing both numerator and denominator by the GCD, we get 24817.

Step 6: Convert to Mixed Number

The fraction 24817 can be written as the mixed number 141017.

Final Answer

The result of 10/17 added to 42/3 is:

1017+423=141017

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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