17/85 added to 143/4 in Fraction Form

The result of 17/85 added to 143/4 is: 35 19/20

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1785 and 1434.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 85 and 4 is 340.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1785 to 68340
Convert 1434 to 12155340

Step 4: Add the Numerators

Add the numerators: 68 + 12155 = 12223

Step 5: Simplify the Fraction

We can simplify 12223340 to its lowest form.
The greatest common divisor (GCD) of 12223 and 340 is 17.
Dividing both numerator and denominator by the GCD, we get 71920.

Step 6: Convert to Mixed Number

The fraction 71920 can be written as the mixed number 351920.

Final Answer

The result of 17/85 added to 143/4 is:

1785+1434=351920

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).

Fraction Calculator

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