What is the fractional equivalent of 2.125?(1 point)
The fractional equivalent of 2.125 is 17/8.
To find the fractional equivalent of 2.125, follow these steps:
Step 1: Write down the given decimal number: 2.125.
Step 2: Count the number of decimal places in the given decimal number. In this case, there are three decimal places.
Step 3: Multiply both the numerator and denominator of the fraction by 10 raised to the power of the number of decimal places. In this case, multiply by 1000, since there are three decimal places.
2.125 * 1000 = 2125
Step 4: Write the result from step 3 as the numerator of the fraction, with 1 as the denominator.
Fractional equivalent of 2.125 = 2125/1000.
Step 5: Simplify the fraction, if possible. In this case, both the numerator and denominator are divisible by 125.
2125/1000 = (2125 ÷ 125) / (1000 ÷ 125) = 17/8.
Therefore, the fractional equivalent of 2.125 is 17/8.
To find the fractional equivalent of a decimal number, you need to understand the place value of each digit.
In the number 2.125, the digit 2 is in the whole number place, the digit 1 is in the tenths place, the digit 2 is in the hundredths place, and the digit 5 is in the thousandths place.
To convert the decimal to a fraction, you will:
Step 1: Count the number of decimal places (in this case, three decimal places after the whole number).
Step 2: Place the digits in the numerator of the fraction, keeping the decimal places in mind. For 2.125, you would place 125 in the numerator.
Step 3: Determine the denominator by using the place value of the last digit. Since the last digit is in the thousandths place, the denominator will be 1000 because there are three decimal places.
Step 4: Simplify the fraction, if necessary. In this case, the fraction 125/1000 can be simplified by dividing both the numerator and the denominator by 125. This yields 1/8 as the simplest fractional equivalent.
Therefore, the fractional equivalent of 2.125 is 1/8.