How to solve 1000/20,000 x 100
The Correct Answer and Explanation is:
To solve the expression ( \frac{1000}{20000} \times 100 ), we need to follow the order of operations, commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). In this case, the expression involves multiplication and division, so we will proceed step by step.
Step 1: Simplify the fraction ( \frac{1000}{20000} )
Start by simplifying the fraction ( \frac{1000}{20000} ). To do this, divide both the numerator (1000) and the denominator (20000) by their greatest common divisor (GCD). The GCD of 1000 and 20000 is 1000.
[
\frac{1000}{20000} = \frac{1000 \div 1000}{20000 \div 1000} = \frac{1}{20}
]
Now, the fraction ( \frac{1000}{20000} ) simplifies to ( \frac{1}{20} ).
Step 2: Multiply by 100
Next, multiply the simplified fraction ( \frac{1}{20} ) by 100. This is equivalent to:
[
\frac{1}{20} \times 100 = \frac{1 \times 100}{20} = \frac{100}{20}
]
Step 3: Simplify the result
Now simplify the fraction ( \frac{100}{20} ) by dividing both the numerator and the denominator by 20:
[
\frac{100}{20} = 5
]
Thus, the value of ( \frac{1000}{20000} \times 100 ) is 5.
Explanation of the steps
- Simplifying the fraction: By dividing both the numerator (1000) and the denominator (20000) by their greatest common divisor (1000), we reduce the fraction to ( \frac{1}{20} ).
- Multiplying by 100: After simplifying the fraction, we multiply it by 100. This step is straightforward, as we are scaling the fraction by 100.
- Simplifying the result: Finally, the result ( \frac{100}{20} ) simplifies to 5 after division.
Therefore, the correct answer to the expression ( \frac{1000}{20000} \times 100 ) is 5.