178/10 added to 48/3 in Fraction Form

The result of 178/10 added to 48/3 is: 33 4/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17810 and 483.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 10 and 3 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17810 to 53430
Convert 483 to 48030

Step 4: Add the Numerators

Add the numerators: 534 + 480 = 1014

Step 5: Simplify the Fraction

We can simplify 101430 to its lowest form.
The greatest common divisor (GCD) of 1014 and 30 is 6.
Dividing both numerator and denominator by the GCD, we get 1695.

Step 6: Convert to Mixed Number

The fraction 1695 can be written as the mixed number 3345.

Final Answer

The result of 178/10 added to 48/3 is:

17810+483=3345

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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