What is the answer of 10 divided by 60?
The correct answer and explanation is:
Correct Answer:
10 ÷ 60 = 0.1667 (rounded to four decimal places)
Step-by-Step Solution:
- Set up the division:
Divide 10 by 60 → 10 ÷ 60 - Simplify the fraction (if needed):
10 ÷ 60 is the same as the fraction 10/60.
Simplify 10/60 by dividing both the numerator and denominator by 10.
10 ÷ 10 = 1
60 ÷ 10 = 6
So, 10 ÷ 60 = 1/6 - Convert the simplified fraction to a decimal:
1 divided by 6 = 0.166666… (repeating) - Round the answer (if needed):
Rounded to four decimal places, 0.166666… becomes 0.1667
Explanation (300 words):
Dividing 10 by 60 involves understanding both fractions and decimals. Division essentially asks how many times one number fits into another. In this case, it asks how many times 60 fits into 10. Since 60 is larger than 10, the answer will be less than 1. This is a good clue that the result will be a decimal or a proper fraction.
First, express 10 ÷ 60 as a fraction: 10/60. This fraction can be simplified to make calculations easier. To simplify, divide both the top number (numerator) and the bottom number (denominator) by the same value. The greatest common divisor of 10 and 60 is 10, so divide both by 10. This gives the simplified fraction 1/6.
Next, convert 1/6 into a decimal. To do this, perform long division of 1 by 6. Six does not go into 1, so place a decimal point and add zeros. Six goes into 10 once (6), with 4 left over. Bring down another 0, making 40. Six goes into 40 six times (36), with 4 left over again. This process repeats, producing the decimal 0.1666… where the six repeats.
Since repeating decimals are often rounded for practical purposes, round 0.1666… to four decimal places. This gives the final result of 0.1667.
In conclusion, 10 divided by 60 equals 0.1667 when rounded, which comes from simplifying the fraction 10/60 to 1/6 and converting it to a decimal form.