10/60 as a Decimal
2026-02-28 08:17 Diff

Answer

10/60 in decimals can be simplified first to 1/6, which can be written as 0.16666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 10/60 in decimal, we first simplify the fraction. Dividing both the numerator and the denominator by their greatest common divisor, 10, we get 1/6. Now, we use the division method to convert 1/6 to 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'll take the help of decimals. We add 0 to the dividend, making it 10, and add a decimal point in the quotient.

Step 3: Now that it is 10, we 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, which is 6 × 1 = 6. We write 1 in the quotient place and subtract 6 from 10, giving us 4.

Step 5: Bring down another 0 in the dividend place, making it 40, and then repeat the division process. 6 fits into 40 six times (6 × 6 = 36). We write 6 in the quotient and subtract 36, leaving us with 4. The division process continues, with the remainder never reaching 0. This process is called a recurring decimal.

The answer for 10/60 as a decimal is 0.1666...