45/185 added to 47/3 in Fraction Form

The result of 45/185 added to 47/3 is: 15 101/111

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 45185 and 473.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 3 is 555.

Step 3: Convert Fractions to Equivalent Fractions

Convert 45185 to 135555
Convert 473 to 8695555

Step 4: Add the Numerators

Add the numerators: 135 + 8695 = 8830

Step 5: Simplify the Fraction

We can simplify 8830555 to its lowest form.
The greatest common divisor (GCD) of 8830 and 555 is 5.
Dividing both numerator and denominator by the GCD, we get 1766111.

Step 6: Convert to Mixed Number

The fraction 1766111 can be written as the mixed number 15101111.

Final Answer

The result of 45/185 added to 47/3 is:

45185+473=15101111

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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