What is 11 7/20 in decimal form?
The correct answer and explanation is:
The correct decimal form of 11 7/20 is 11.35.
To convert a mixed number like 11 7/20 into a decimal, begin by understanding the parts. The number 11 is the whole number, and 7/20 is the fractional part. To express this in decimal form, convert the fraction 7/20 into a decimal and then add it to the whole number.
Start by dividing the numerator of the fraction (7) by the denominator (20):
7 ÷ 20 = 0.35
Now, add this decimal to the whole number:
11 + 0.35 = 11.35
So, 11 7/20 = 11.35 in decimal form.
This process is based on understanding place value and division. Fractions represent division. When you divide the top number by the bottom number, the result is how much that part is worth in decimal. This is especially helpful when comparing numbers, using calculators, or doing real-life measurements like money or distance.
For example, if someone runs 11 and 7/20 kilometers, converting that to 11.35 kilometers makes it easier to input into digital systems. Converting between forms helps in different areas of math, such as algebra, geometry, and even statistics.
In summary, 11 7/20 in decimal form is 11.35. The key steps are to divide the fraction part and add the result to the whole number. This method helps bridge the understanding between fractions and decimals, which are just two ways of representing the same quantity.