10/75 added to 185/4 in Fraction Form

The result of 10/75 added to 185/4 is: 46 23/60

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1075 and 1854.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 75 and 4 is 300.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1075 to 40300
Convert 1854 to 13875300

Step 4: Add the Numerators

Add the numerators: 40 + 13875 = 13915

Step 5: Simplify the Fraction

We can simplify 13915300 to its lowest form.
The greatest common divisor (GCD) of 13915 and 300 is 5.
Dividing both numerator and denominator by the GCD, we get 278360.

Step 6: Convert to Mixed Number

The fraction 278360 can be written as the mixed number 462360.

Final Answer

The result of 10/75 added to 185/4 is:

1075+1854=462360

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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