7/60 as a Decimal

Answer

7/60 in decimals can be written as 0.11666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 7/60 in decimal, we will use the division method. Here as 7 is smaller than 60, we will take the help of the decimal method, which will give us 0.11666.

Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (60) will be taken as the divisor.

Step 2: As 7 is smaller than 60, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 7 as 70, and add a decimal point in the quotient place.

Step 3: Now that it is 70, we can divide it by 60. Let's see how many times 60 makes 70.

Step 4: 70 is not a multiple of 60, so we will look for the nearest number that is 60 × 1 = 60. We will write 1 in the quotient place and subtract 60 from 70, which gives 10.

Step 5: Bring down another 0 in the dividend place and make 10 as 100, then repeat the division process.

Step 6: 100 divided by 60 gives 1 with a remainder of 40. Continue bringing down zeros and dividing to see the repeating pattern. The division process continues; we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 7/60 as a decimal will be 0.11666……

• 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.
   
• Recurring Decimal: A decimal in which one or more digits repeat infinitely.
   
• Dividend: The number that is being divided in a division operation.
   
• Divisor: The number by which another number is divided.