146/112 added to 10/3 in Fraction Form

The result of 146/112 added to 10/3 is: 4 107/168

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 146112 and 103.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 112 and 3 is 336.

Step 3: Convert Fractions to Equivalent Fractions

Convert 146112 to 438336
Convert 103 to 1120336

Step 4: Add the Numerators

Add the numerators: 438 + 1120 = 1558

Step 5: Simplify the Fraction

We can simplify 1558336 to its lowest form.
The greatest common divisor (GCD) of 1558 and 336 is 2.
Dividing both numerator and denominator by the GCD, we get 779168.

Step 6: Convert to Mixed Number

The fraction 779168 can be written as the mixed number 4107168.

Final Answer

The result of 146/112 added to 10/3 is:

146112+103=4107168

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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