10/60 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: numerator (number on the top), here 10, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 60. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 10/60 as a decimal?

$10/60 as a decimal$

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...

Important Glossaries for 10/60 as a decimal

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.