78/45 added to 185/4 in Fraction Form

The result of 78/45 added to 185/4 is: 47 59/60

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7845 and 1854.

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 7845 to 312180
Convert 1854 to 8325180

Step 4: Add the Numerators

Add the numerators: 312 + 8325 = 8637

Step 5: Simplify the Fraction

We can simplify 8637180 to its lowest form.
The greatest common divisor (GCD) of 8637 and 180 is 3.
Dividing both numerator and denominator by the GCD, we get 287960.

Step 6: Convert to Mixed Number

The fraction 287960 can be written as the mixed number 475960.

Final Answer

The result of 78/45 added to 185/4 is:

7845+1854=475960

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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