17/45 added to 70/4 in Fraction Form

The result of 17/45 added to 70/4 is: 17 79/90

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1745 and 704.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 45 and 4 is 180.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1745 to 68180
Convert 704 to 3150180

Step 4: Add the Numerators

Add the numerators: 68 + 3150 = 3218

Step 5: Simplify the Fraction

We can simplify 3218180 to its lowest form.
The greatest common divisor (GCD) of 3218 and 180 is 2.
Dividing both numerator and denominator by the GCD, we get 160990.

Step 6: Convert to Mixed Number

The fraction 160990 can be written as the mixed number 177990.

Final Answer

The result of 17/45 added to 70/4 is:

1745+704=177990

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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