48/100 added to 101/3 in Fraction Form

The result of 48/100 added to 101/3 is: 34 11/75

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 48100 and 1013.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 100 and 3 is 300.

Step 3: Convert Fractions to Equivalent Fractions

Convert 48100 to 144300
Convert 1013 to 10100300

Step 4: Add the Numerators

Add the numerators: 144 + 10100 = 10244

Step 5: Simplify the Fraction

We can simplify 10244300 to its lowest form.
The greatest common divisor (GCD) of 10244 and 300 is 4.
Dividing both numerator and denominator by the GCD, we get 256175.

Step 6: Convert to Mixed Number

The fraction 256175 can be written as the mixed number 341175.

Final Answer

The result of 48/100 added to 101/3 is:

48100+1013=341175

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).

Fraction Calculator

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