157/100 added to 24/3 in Fraction Form

The result of 157/100 added to 24/3 is: 9 57/100

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 157100 and 243.

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 157100 to 471300
Convert 243 to 2400300

Step 4: Add the Numerators

Add the numerators: 471 + 2400 = 2871

Step 5: Simplify the Fraction

We can simplify 2871300 to its lowest form.
The greatest common divisor (GCD) of 2871 and 300 is 3.
Dividing both numerator and denominator by the GCD, we get 957100.

Step 6: Convert to Mixed Number

The fraction 957100 can be written as the mixed number 957100.

Final Answer

The result of 157/100 added to 24/3 is:

157100+243=957100

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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