153/42 added to 100/2 in Fraction Form

The result of 153/42 added to 100/2 is: 53 9/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15342 and 1002.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 42 and 2 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15342 to 15342
Convert 1002 to 210042

Step 4: Add the Numerators

Add the numerators: 153 + 2100 = 2253

Step 5: Simplify the Fraction

We can simplify 225342 to its lowest form.
The greatest common divisor (GCD) of 2253 and 42 is 3.
Dividing both numerator and denominator by the GCD, we get 75114.

Step 6: Convert to Mixed Number

The fraction 75114 can be written as the mixed number 53914.

Final Answer

The result of 153/42 added to 100/2 is:

15342+1002=53914

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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