152/101 added to 48/4 in Fraction Form

The result of 152/101 added to 48/4 is: 13 51/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 152101 and 484.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 4 is 404.

Step 3: Convert Fractions to Equivalent Fractions

Convert 152101 to 608404
Convert 484 to 4848404

Step 4: Add the Numerators

Add the numerators: 608 + 4848 = 5456

Step 5: Simplify the Fraction

We can simplify 5456404 to its lowest form.
The greatest common divisor (GCD) of 5456 and 404 is 4.
Dividing both numerator and denominator by the GCD, we get 1364101.

Step 6: Convert to Mixed Number

The fraction 1364101 can be written as the mixed number 1351101.

Final Answer

The result of 152/101 added to 48/4 is:

152101+484=1351101

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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