convert 1/15 into a decimal correct to 2 decimal places
The Correct Answer and Explanation is:
Correct Answer:
115=0.07 (correct to 2 decimal places)\frac{1}{15} = 0.07 \text{ (correct to 2 decimal places)}151=0.07 (correct to 2 decimal places)
Explanation
To convert the fraction 115\frac{1}{15}151 into a decimal, you need to perform division. This means dividing 1 by 15.
Start by setting up the division: 1÷15=0.0666…1 \div 15 = 0.0666\ldots1÷15=0.0666…
This result is a repeating decimal. The digit 6 repeats continuously. So the decimal form of 115\frac{1}{15}151 is: 0.06‾0.\overline{06}0.06
Now we need to round this decimal to two decimal places. To do this, look at the third digit after the decimal point. The first two digits after the decimal are 0 and 6. The third digit is also a 6. According to rounding rules, if the digit immediately after the place you are rounding to is 5 or more, you round the last kept digit up by one.
In our case, the decimal is 0.0666… and we are rounding to two decimal places. The digit in the hundredths place is 6. The digit in the thousandths place is also 6, which is greater than 5, so we round up.
This means: 0.0666…≈0.07 (to two decimal places)0.0666\ldots \approx 0.07 \text{ (to two decimal places)}0.0666…≈0.07 (to two decimal places)
Understanding how to round decimals is useful in many real-life applications. For example, when working with money, you often round to two decimal places because that’s how most currencies are formatted. In science or engineering, rounding helps simplify data to a manageable level without losing too much accuracy.
It’s also helpful to understand that 1 divided by 15 doesn’t result in a clean decimal. Fractions like 12\frac{1}{2}21, 14\frac{1}{4}41, or 15\frac{1}{5}51 convert easily to decimals, but others, such as 13\frac{1}{3}31 or 115\frac{1}{15}151, result in repeating decimals. Being able to recognize and round them correctly is an important math skill.
Therefore, the decimal equivalent of 115\frac{1}{15}151 rounded to two decimal places is 0.07.
