17/70 added to 23/2 in Fraction Form

The result of 17/70 added to 23/2 is: 11 26/35

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1770 and 232.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 70 and 2 is 70.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1770 to 1770
Convert 232 to 80570

Step 4: Add the Numerators

Add the numerators: 17 + 805 = 822

Step 5: Simplify the Fraction

We can simplify 82270 to its lowest form.
The greatest common divisor (GCD) of 822 and 70 is 2.
Dividing both numerator and denominator by the GCD, we get 41135.

Step 6: Convert to Mixed Number

The fraction 41135 can be written as the mixed number 112635.

Final Answer

The result of 17/70 added to 23/2 is:

1770+232=112635

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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