What is 16 divided by 20?
The Correct Answer and Explanation is :
The answer to 16 divided by 20 is 0.8.
Explanation
To understand how we arrive at this answer, it’s important to grasp the concept of division and fractions. When we divide one number by another, we are essentially determining how many times the divisor can fit into the dividend. In this case, we are dividing 16 (the dividend) by 20 (the divisor).
Mathematically, division can also be expressed in terms of fractions. The operation 16 divided by 20 can be rewritten as the fraction ( \frac{16}{20} ). This fraction represents the relationship between the two numbers, indicating that for every 20 units, we have 16 units.
To simplify this fraction, we can find the greatest common divisor (GCD) of the numerator (16) and the denominator (20). The GCD of 16 and 20 is 4. By dividing both the numerator and the denominator by their GCD, we simplify the fraction:
[
\frac{16 \div 4}{20 \div 4} = \frac{4}{5}
]
Now, we can convert this simplified fraction into a decimal. To do this, we divide the numerator (4) by the denominator (5). Performing the division:
[
4 \div 5 = 0.8
]
This result shows that 16 is 80% of 20, which can also be interpreted as 0.8 in decimal form. This decimal representation is particularly useful in various real-life applications, such as in finance, measurement, or any context where proportional relationships are important.
In summary, the division of 16 by 20 gives us a result of 0.8, and we can confirm this by expressing the division as a fraction, simplifying it, and converting it to decimal form. This illustrates the interconnectedness of division, fractions, and decimals, which are fundamental concepts in mathematics.