5/30 as a Decimal

Answer

5/30 in decimals can be simplified to 1/6, which is 0.16666…. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 5/30 in decimal, we will first simplify the fraction and then use the division method. The fraction 5/30 simplifies to 1/6 because both the numerator and the denominator can be divided by 5. Let's see the step-by-step breakdown of the process to convert 1/6 into a decimal:

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (6) will be taken as the divisor.

Step 2: As 1 is smaller than 6, it can't be divided directly, so we use decimals. We add 0 to the dividend, making it 10, and add a decimal point in the quotient place.

Step 3: Now that it is 10, we can divide it by 6. Let's see how many times 6 fits into 10.

Step 4: 10 is not a multiple of 6, so we look for the nearest number that is 6 x 1 = 6. We write 1 in the quotient place and subtract 6 from 10, giving 4.

Step 5: Bring down another 0 in the dividend place to make 4 as 40, and then repeat the division process. Continue dividing to get 40 divided by 6.

Step 6: 6 x 6 = 36, so write 6 in the quotient place. Subtract 36 from 40, giving 4. Bring down another 0 to make 40 again. This process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 5/30 as a decimal is 0.1666…

• 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 one or more digits repeat infinitely.