10/30 as a Decimal

Answer

10/30 in decimals can be written as 0.33333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 10/30 in decimal, we will use the division method. Here as 10 is smaller than 30, we will add a decimal point and zeros to the dividend to perform the division, which will give us 0.3333. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (10) will be taken as the dividend and the denominator (30) will be taken as the divisor.

Step 2: As 10 is smaller than 30, it can't be divided directly, so we will use decimals. We will add a decimal point in the quotient and 0 to the dividend, making it 100.

Step 3: Now that it is 100, we can divide it by 30. Let's see how many times 30 fits into 100.

Step 4: 100 divided by 30 gives 3 full times because 30 × 3 = 90. We will write 3 in the quotient place and subtract 90 from 100, which gives 10.

Step 5: Bring down another 0 in the dividend to make it 100 and repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 10/30 as a decimal will be 0.3333……

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Recurring Decimal: A decimal in which a digit or group of digits repeat infinitely.